Index: clangd/ClangdUnit.cpp
===================================================================
--- clangd/ClangdUnit.cpp
+++ clangd/ClangdUnit.cpp
@@ -138,9 +138,21 @@
           CodeCompleteOpts.IncludeBriefComments);
       if (CCS) {
         CompletionItem Item;
+        for (CodeCompletionString::Chunk C : *CCS) {
+          switch (C.Kind) {
+          case CodeCompletionString::CK_ResultType:
+            Item.detail = C.Text;
+            break;
+          case CodeCompletionString::CK_Optional:
+            break;
+          default:
+            Item.label += C.Text;
+            break;
+          }
+        }
         assert(CCS->getTypedText());
-        Item.label = CCS->getTypedText();
         Item.kind = getKind(Result.CursorKind);
+        Item.insertText = CCS->getTypedText();
         if (CCS->getBriefComment())
           Item.documentation = CCS->getBriefComment();
         Items->push_back(std::move(Item));
Index: test/clangd/completion.test
===================================================================
--- test/clangd/completion.test
+++ test/clangd/completion.test
@@ -5,9 +5,9 @@
 
 {"jsonrpc":"2.0","id":0,"method":"initialize","params":{"processId":123,"rootPath":"clangd","capabilities":{},"trace":"off"}}
 
-Content-Length: 211
+Content-Length: 246
 
-{"jsonrpc":"2.0","method":"textDocument/didOpen","params":{"textDocument":{"uri":"file:///main.cpp","languageId":"cpp","version":1,"text":"struct fake { int a, bb, ccc; };\nint main() {\n  fake f;\n  f.\n}\n"}}}
+{"jsonrpc":"2.0","method":"textDocument/didOpen","params":{"textDocument":{"uri":"file:///main.cpp","languageId":"cpp","version":1,"text":"struct fake { int a, bb, ccc; int f(int i, const float f) const; };\nint main() {\n  fake f;\n  f.\n}\n"}}}
 
 Content-Length: 148
 
@@ -16,9 +16,12 @@
 # nondeterministic, so we check regardless of order.
 #
 # CHECK: {"jsonrpc":"2.0","id":1,"result":[
-# CHECK-DAG: {"label":"a","kind":5}
-# CHECK-DAG: {"label":"bb","kind":5}
-# CHECK-DAG: {"label":"ccc","kind":5}
+# CHECK-DAG: {"label":"a","kind":5,"detail":"int","insertText":"a"}
+# CHECK-DAG: {"label":"bb","kind":5,"detail":"int","insertText":"bb"}
+# CHECK-DAG: {"label":"ccc","kind":5,"detail":"int","insertText":"ccc"}
+# CHECK-DAG: {"label":"operator=(const fake &)","kind":2,"detail":"fake &","insertText":"operator="}
+# CHECK-DAG: {"label":"~fake()","kind":4,"detail":"void","insertText":"~fake"}
+# CHECK-DAG: {"label":"f(int i, const float f) const","kind":2,"detail":"int","insertText":"f"}
 # CHECK: ]}
 Content-Length: 146
 
@@ -26,9 +29,7 @@
 # Test authority-less URI
 #
 # CHECK: {"jsonrpc":"2.0","id":1,"result":[
-# CHECK-DAG: {"label":"a","kind":5}
-# CHECK-DAG: {"label":"bb","kind":5}
-# CHECK-DAG: {"label":"ccc","kind":5}
+# CHECK-DAG: {"label":"a","kind":5,"detail":"int","insertText":"a"}
 # CHECK: ]}
 
 Content-Length: 172
@@ -37,9 +38,7 @@
 # Test params parsing in the presence of a 1.x-compatible client (inlined "uri")
 #
 # CHECK: {"jsonrpc":"2.0","id":1,"result":[
-# CHECK-DAG: {"label":"a","kind":5}
-# CHECK-DAG: {"label":"bb","kind":5}
-# CHECK-DAG: {"label":"ccc","kind":5}
+# CHECK-DAG: {"label":"a","kind":5,"detail":"int","insertText":"a"}
 # CHECK: ]}
 Content-Length: 44