diff --git a/CHANGELOG.md b/CHANGELOG.md
index 5b6b3d6bea2..62891b270a6 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -11,6 +11,9 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 
 ### Added
 
+- Added `prefix` and `postfix` arguments to `ClasswiseWrapper` ([#1866](https://github.com/Lightning-AI/torchmetrics/pull/1866))
+
+
 - Added speech-to-reverberation modulation energy ratio (SRMR) metric ([#1792](https://github.com/Lightning-AI/torchmetrics/pull/1792), [#1872](https://github.com/Lightning-AI/torchmetrics/pull/1872))
 
 
diff --git a/src/torchmetrics/wrappers/classwise.py b/src/torchmetrics/wrappers/classwise.py
index 2cc0b6ed100..3e2d8eb7fc2 100644
--- a/src/torchmetrics/wrappers/classwise.py
+++ b/src/torchmetrics/wrappers/classwise.py
@@ -33,8 +33,12 @@ class ClasswiseWrapper(Metric):
         metric: base metric that should be wrapped. It is assumed that the metric outputs a single
             tensor that is split along the first dimension.
         labels: list of strings indicating the different classes.
+        prefix: string that is prepended to the metric names.
+        postfix: string that is appended to the metric names.
+
+    Example::
+        Basic example where the ouput of a metric is unwrapped into a dictionary with the class index as keys:
 
-    Example:
         >>> import torch
         >>> _ = torch.manual_seed(42)
         >>> from torchmetrics.wrappers import ClasswiseWrapper
@@ -47,7 +51,29 @@ class ClasswiseWrapper(Metric):
         'multiclassaccuracy_1': tensor(0.7500),
         'multiclassaccuracy_2': tensor(0.)}
 
-    Example (labels as list of strings):
+    Example::
+        Using custom name via prefix and postfix:
+
+        >>> import torch
+        >>> _ = torch.manual_seed(42)
+        >>> from torchmetrics.wrappers import ClasswiseWrapper
+        >>> from torchmetrics.classification import MulticlassAccuracy
+        >>> metric_pre = ClasswiseWrapper(MulticlassAccuracy(num_classes=3, average=None), prefix="acc-")
+        >>> metric_post = ClasswiseWrapper(MulticlassAccuracy(num_classes=3, average=None), postfix="-acc")
+        >>> preds = torch.randn(10, 3).softmax(dim=-1)
+        >>> target = torch.randint(3, (10,))
+        >>> metric_pre(preds, target)  # doctest: +NORMALIZE_WHITESPACE
+        {'acc-0': tensor(0.5000),
+         'acc-1': tensor(0.7500),
+         'acc-2': tensor(0.)}
+        >>> metric_post(preds, target)  # doctest: +NORMALIZE_WHITESPACE
+        {'0-acc': tensor(0.5000),
+         '1-acc': tensor(0.7500),
+         '2-acc': tensor(0.)}
+
+    Example::
+        Providing labels as a list of strings:
+
         >>> from torchmetrics.wrappers import ClasswiseWrapper
         >>> from torchmetrics.classification import MulticlassAccuracy
         >>> metric = ClasswiseWrapper(
@@ -61,7 +87,10 @@ class ClasswiseWrapper(Metric):
         'multiclassaccuracy_fish': tensor(0.6667),
         'multiclassaccuracy_dog': tensor(0.)}
 
-    Example (in metric collection):
+    Example::
+        Classwise can also be used in combination with :class:`~torchmetrics.MetricCollection`. In this case, everything
+        will be flattened into a single dictionary:
+
         >>> from torchmetrics import MetricCollection
         >>> from torchmetrics.wrappers import ClasswiseWrapper
         >>> from torchmetrics.classification import MulticlassAccuracy, MulticlassRecall
@@ -81,21 +110,43 @@ class ClasswiseWrapper(Metric):
          'multiclassrecall_dog': tensor(0.4000)}
     """
 
-    def __init__(self, metric: Metric, labels: Optional[List[str]] = None) -> None:
+    def __init__(
+        self,
+        metric: Metric,
+        labels: Optional[List[str]] = None,
+        prefix: Optional[str] = None,
+        postfix: Optional[str] = None,
+    ) -> None:
         super().__init__()
         if not isinstance(metric, Metric):
             raise ValueError(f"Expected argument `metric` to be an instance of `torchmetrics.Metric` but got {metric}")
+        self.metric = metric
+
         if labels is not None and not (isinstance(labels, list) and all(isinstance(lab, str) for lab in labels)):
             raise ValueError(f"Expected argument `labels` to either be `None` or a list of strings but got {labels}")
-        self.metric = metric
         self.labels = labels
+
+        if prefix is not None and not isinstance(prefix, str):
+            raise ValueError(f"Expected argument `prefix` to either be `None` or a string but got {prefix}")
+        self.prefix = prefix
+
+        if postfix is not None and not isinstance(postfix, str):
+            raise ValueError(f"Expected argument `postfix` to either be `None` or a string but got {postfix}")
+        self.postfix = postfix
+
         self._update_count = 1
 
     def _convert(self, x: Tensor) -> Dict[str, Any]:
-        name = self.metric.__class__.__name__.lower()
+        # Will set the class name as prefix if neither prefix nor postfix is given
+        if not self.prefix and not self.postfix:
+            prefix = f"{self.metric.__class__.__name__.lower()}_"
+            postfix = ""
+        else:
+            prefix = self.prefix or ""
+            postfix = self.postfix or ""
         if self.labels is None:
-            return {f"{name}_{i}": val for i, val in enumerate(x)}
-        return {f"{name}_{lab}": val for lab, val in zip(self.labels, x)}
+            return {f"{prefix}{i}{postfix}": val for i, val in enumerate(x)}
+        return {f"{prefix}{lab}{postfix}": val for lab, val in zip(self.labels, x)}
 
     def forward(self, *args: Any, **kwargs: Any) -> Any:
         """Calculate on batch and accumulate to global state."""
diff --git a/tests/unittests/wrappers/test_classwise.py b/tests/unittests/wrappers/test_classwise.py
index 561eb375bd2..88e71c411f7 100644
--- a/tests/unittests/wrappers/test_classwise.py
+++ b/tests/unittests/wrappers/test_classwise.py
@@ -13,6 +13,12 @@ def test_raises_error_on_wrong_input():
     with pytest.raises(ValueError, match="Expected argument `labels` to either be `None` or a list of strings.*"):
         ClasswiseWrapper(MulticlassAccuracy(num_classes=3), "hest")
 
+    with pytest.raises(ValueError, match="Expected argument `prefix` to either be `None` or a string.*"):
+        ClasswiseWrapper(MulticlassAccuracy(num_classes=3), prefix=1)
+
+    with pytest.raises(ValueError, match="Expected argument `postfix` to either be `None` or a string.*"):
+        ClasswiseWrapper(MulticlassAccuracy(num_classes=3), postfix=1)
+
 
 def test_output_no_labels():
     """Test that wrapper works with no label input."""
@@ -54,6 +60,38 @@ def test_output_with_labels():
             assert val[f"multiclassaccuracy_{lab}"] == val_base[i]
 
 
+def test_output_with_prefix():
+    """Test that wrapper works with prefix."""
+    base = MulticlassAccuracy(num_classes=3, average=None)
+    metric = ClasswiseWrapper(MulticlassAccuracy(num_classes=3, average=None), prefix="pre_")
+    for _ in range(2):
+        preds = torch.randn(20, 3).softmax(dim=-1)
+        target = torch.randint(3, (20,))
+        val = metric(preds, target)
+        val_base = base(preds, target)
+        assert isinstance(val, dict)
+        assert len(val) == 3
+        for i in range(3):
+            assert f"pre_{i}" in val
+            assert val[f"pre_{i}"] == val_base[i]
+
+
+def test_output_with_postfix():
+    """Test that wrapper works with postfix."""
+    base = MulticlassAccuracy(num_classes=3, average=None)
+    metric = ClasswiseWrapper(MulticlassAccuracy(num_classes=3, average=None), postfix="_post")
+    for _ in range(2):
+        preds = torch.randn(20, 3).softmax(dim=-1)
+        target = torch.randint(3, (20,))
+        val = metric(preds, target)
+        val_base = base(preds, target)
+        assert isinstance(val, dict)
+        assert len(val) == 3
+        for i in range(3):
+            assert f"{i}_post" in val
+            assert val[f"{i}_post"] == val_base[i]
+
+
 @pytest.mark.parametrize("prefix", [None, "pre_"])
 @pytest.mark.parametrize("postfix", [None, "_post"])
 def test_using_metriccollection(prefix, postfix):