diff --git a/clippy_lints/src/redundant_clone.rs b/clippy_lints/src/redundant_clone.rs
index c315b575ef59..aedbafd408b0 100644
--- a/clippy_lints/src/redundant_clone.rs
+++ b/clippy_lints/src/redundant_clone.rs
@@ -341,6 +341,9 @@ fn base_local_and_movability<'tcx>(
     let mut deref = false;
     // Accessing a field of an ADT that has `Drop`. Moving the field out will cause E0509.
     let mut field = false;
+    // If projection is a slice index then clone can be removed only if the
+    // underlying type implements Copy
+    let mut slice = false;
 
     let PlaceRef { local, mut projection } = place.as_ref();
     while let [base @ .., elem] = projection {
@@ -348,9 +351,11 @@ fn base_local_and_movability<'tcx>(
         deref |= matches!(elem, mir::ProjectionElem::Deref);
         field |= matches!(elem, mir::ProjectionElem::Field(..))
             && has_drop(cx, mir::Place::ty_from(local, projection, &mir.local_decls, cx.tcx).ty);
+        slice |= matches!(elem, mir::ProjectionElem::Index(..))
+            && !is_copy(cx, mir::Place::ty_from(local, projection, &mir.local_decls, cx.tcx).ty);
     }
 
-    Some((local, deref || field))
+    Some((local, deref || field || slice))
 }
 
 struct LocalUseVisitor {
diff --git a/tests/ui/redundant_clone.fixed b/tests/ui/redundant_clone.fixed
index 54815603c6de..b8faf4d253ad 100644
--- a/tests/ui/redundant_clone.fixed
+++ b/tests/ui/redundant_clone.fixed
@@ -160,3 +160,11 @@ fn not_consumed() {
         println!("{}", x);
     }
 }
+
+fn issue_5405() {
+    let a: [String; 1] = [String::from("foo")];
+    let _b: String = a[0].clone();
+
+    let c: [usize; 2] = [2, 3];
+    let _d: usize = c[1].clone();
+}
diff --git a/tests/ui/redundant_clone.rs b/tests/ui/redundant_clone.rs
index a9b31183adc8..9a24f68ecd0e 100644
--- a/tests/ui/redundant_clone.rs
+++ b/tests/ui/redundant_clone.rs
@@ -160,3 +160,11 @@ fn not_consumed() {
         println!("{}", x);
     }
 }
+
+fn issue_5405() {
+    let a: [String; 1] = [String::from("foo")];
+    let _b: String = a[0].clone();
+
+    let c: [usize; 2] = [2, 3];
+    let _d: usize = c[1].clone();
+}
diff --git a/tests/ui/redundant_clone.stderr b/tests/ui/redundant_clone.stderr
index 9c27812b9cdc..06c5560c94cb 100644
--- a/tests/ui/redundant_clone.stderr
+++ b/tests/ui/redundant_clone.stderr
@@ -167,5 +167,13 @@ note: cloned value is neither consumed nor mutated
 LL |     let y = x.clone().join("matthias");
    |             ^^^^^^^^^
 
-error: aborting due to 14 previous errors
+error: using `clone` on a `Copy` type
+  --> $DIR/redundant_clone.rs:169:21
+   |
+LL |     let _d: usize = c[1].clone();
+   |                     ^^^^^^^^^^^^ help: try removing the `clone` call: `c[1]`
+   |
+   = note: `-D clippy::clone-on-copy` implied by `-D warnings`
+
+error: aborting due to 15 previous errors