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

chrome/browser/tab_contents/render_view_context_menu.cc

Index: chrome/browser/tab_contents/render_view_context_menu.cc
diff --git a/chrome/browser/tab_contents/render_view_context_menu.cc b/chrome/browser/tab_contents/render_view_context_menu.cc
index f519aa054fff89bbd508eb7713b21d8efde0aa88..66b2f1848b28f3674a226ae61456201038586e10 100644
--- a/chrome/browser/tab_contents/render_view_context_menu.cc
+++ b/chrome/browser/tab_contents/render_view_context_menu.cc
@@ -81,6 +81,7 @@
 #include "third_party/WebKit/Source/WebKit/chromium/public/WebContextMenuData.h"
 #include "third_party/WebKit/Source/WebKit/chromium/public/WebMediaPlayerAction.h"
 #include "third_party/WebKit/Source/WebKit/chromium/public/WebPluginAction.h"
+#include "ui/base/clipboard/clipboard.h"
 #include "ui/base/l10n/l10n_util.h"
 #include "ui/base/text/text_elider.h"
 #include "ui/gfx/favicon_size.h"
@@ -2014,7 +2015,7 @@ void RenderViewContextMenu::WriteURLToClipboard(const GURL& url) {
   chrome_common_net::WriteURLToClipboard(
       url,
       profile_->GetPrefs()->GetString(prefs::kAcceptLanguages),
-      g_browser_process->clipboard());
+      ui::Clipboard::GetForCurrentThread());
 }
 
 void RenderViewContextMenu::MediaPlayerActionAt(