diff --git a/src/Header.module.css b/src/Header.module.css
index 5a408bd3..0984fea5 100644
--- a/src/Header.module.css
+++ b/src/Header.module.css
@@ -90,6 +90,7 @@ limitations under the License.
 .nameLine {
   grid-area: name;
   flex-grow: 1;
+  min-width: 0;
   display: flex;
   align-items: center;
   gap: var(--cpd-space-1x);
@@ -97,8 +98,6 @@ limitations under the License.
 
 .nameLine > h1 {
   margin: 0;
-  /* XXX I can't actually get this ellipsis overflow to trigger, because
-  constraint propagation in a nested flexbox layout is a massive pain */
   overflow: hidden;
   text-overflow: ellipsis;
 }
diff --git a/src/room/InCallView.module.css b/src/room/InCallView.module.css
index 21662ecf..32d34fb7 100644
--- a/src/room/InCallView.module.css
+++ b/src/room/InCallView.module.css
@@ -19,6 +19,7 @@ limitations under the License.
   flex-direction: column;
   height: 100%;
   width: 100%;
+  overflow-x: hidden;
   overflow-y: auto;
 }