Try 2 - Change how ui::Clipboard is accessed so there's only one per thread.

chrome/browser/bookmarks/bookmark_utils_unittest.cc

 // Copyright (c) 2012 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #include "chrome/browser/bookmarks/bookmark_utils.h"
 
 #include "base/message_loop.h"
 #include "base/utf_string_conversions.h"
 #include "chrome/browser/bookmarks/bookmark_model.h"
 #include "testing/gtest/include/gtest/gtest.h"
 #include "ui/base/clipboard/scoped_clipboard_writer.h"
 
-#if !defined(OS_MACOSX)
-#include "chrome/browser/browser_process.h"
-#endif
-
 using std::string;
 
 namespace bookmark_utils {
 namespace {
 
 TEST(BookmarkUtilsTest, GetBookmarksContainingText) {
   BookmarkModel model(NULL);
   const BookmarkNode* n1 = model.AddURL(model.other_node(),
                                         0,
                                         ASCIIToUTF16("foo bar"),
@@ skipping 108 matching lines @@
   // Copy a node to the clipboard.
   std::vector<const BookmarkNode*> nodes;
   nodes.push_back(node);
   CopyToClipboard(&model, nodes, false);
 
   // And make sure we can paste a bookmark from the clipboard.
   EXPECT_TRUE(CanPasteFromClipboard(model.bookmark_bar_node()));
 
   // Write some text to the clipboard.
   {
-    ui::ScopedClipboardWriter clipboard_writer(g_browser_process->clipboard(),
-                                               ui::Clipboard::BUFFER_STANDARD);
+    ui::ScopedClipboardWriter clipboard_writer(
+        ui::Clipboard::GetForCurrentThread(),
+        ui::Clipboard::BUFFER_STANDARD);
     clipboard_writer.WriteText(ASCIIToUTF16("foo"));
   }
 
   // Now we shouldn't be able to paste from the clipboard.
   EXPECT_FALSE(CanPasteFromClipboard(model.bookmark_bar_node()));
 }
 #endif
 
 }  // namespace
 }  // namespace bookmark_utils