goo.gl url shortener is an extension which allows you to shorten the current website URL with the Google URL Shortener service http://goo.gl/

  ●  Official goo.gl API support
  ●  Official goo.gl history/dashboard support with OAuth
  ●  Auto copy to clipboard
  ●  Keyboard shortcut
  ●  Context menu
  ●  QR Code
  ●  Highly customizable
  ●  Incognito mode
  ●  Share with your default mail client
  ●  Share with many different services 
      Blogger, Delicious, Diaspora*, Digg, Diigo, Evernote, Facebook, FriendFeed, Gmail, Google Bookmarks, Google Buzz,
      Google Reader, Hotmail, Instapaper, LinkedIn, Mail, MySpace, Netlog, Orkut, Ping.fm, Posterous, Reddit, Read It Later,
      StumbleUpon, Technorati, Tumblr, Twitter, Yahoo! Bookmarks, Yahoo! Mail, VKontakte

This extension can access:
  ●  Your data on all websites
      This permission is necessary to create custom keyboard shortcut. The extension does NOT access to your private data!
  ●  Your browsing history
      This permission is necessary to get the url of the page you want to shorten

If you are not interested in the keyboard shortcuts or you are worried for your privacy you can install the lite version http://goo.gl/kZiQ