diff --git a/S02-types/baggy.t b/S02-types/baggy.t
index a74808aa97..14c8b75987 100644
--- a/S02-types/baggy.t
+++ b/S02-types/baggy.t
@@ -1,7 +1,7 @@
 use v6;
 use Test;
 
-plan 3;
+plan 5;
 
 # Tests of the Baggy role
 
@@ -12,3 +12,27 @@ plan 3;
     is-deeply $b.invert,  (2 => "a", 1 => "b"), '.invert';
     is-deeply $b.SetHash, SetHash.new(<a b>),   '.SetHash';
 }
+
+{ # RT#127863
+    subtest 'cloned BagHash gets its own elements storage' => {
+        plan 2;
+        my $a = BagHash.new: <a b c>;
+        my $b = $a.clone;
+        $a<a>--; $a<b>++; $a<z> = 42;
+        is-deeply $a, BagHash.new-from-pairs("b" => 2, "c" => 1, "z" => 42),
+            'modifying first bag works, even after we created its clone';
+        is-deeply $b, BagHash.new(<a b c>),
+            'modifying first bag does not affect cloned bag';
+    }
+
+    subtest 'cloned MixHash gets its own elements storage' => {
+        plan 2;
+        my $a = MixHash.new: <a b c>;
+        my $b = $a.clone;
+        $a<a>--; $a<b>++; $a<z> = 42;
+        is-deeply $a, MixHash.new-from-pairs("b" => 2, "c" => 1, "z" => 42),
+            'modifying first mix works, even after we created its clone';
+        is-deeply $b, MixHash.new(<a b c>),
+            'modifying first mix does not affect cloned mix';
+    }
+}
diff --git a/S02-types/sethash.t b/S02-types/sethash.t
index 95db28cb44..9d6b06f3a1 100644
--- a/S02-types/sethash.t
+++ b/S02-types/sethash.t
@@ -1,7 +1,7 @@
 use v6;
 use Test;
 
-plan 209;
+plan 210;
 
 # L<S02/Mutable types/"QuantHash of Bool">
 
@@ -477,4 +477,16 @@ subtest 'SetHash autovivification of non-existent keys' => {
     is-deeply   $sh5<as>,       Bool::True,  'correct result of assignment';
 }
 
+# RT#127863
+subtest 'cloned SetHash gets its own elements storage' => {
+    plan 2;
+    my $a = SetHash.new: <a b c>;
+    my $b = $a.clone;
+    $a<a>--; $a<b>++; $a<z> = 1;
+    is-deeply $a, SetHash.new-from-pairs("b" => 1, "c" => 1, "z" => 1),
+        'modifying first set works, even after we created its clone';
+    is-deeply $b, SetHash.new(<a b c>),
+        'modifying first set does not affect cloned set';
+}
+
 # vim: ft=perl6