After the release of the first iOS 6 beta we all say that in the NC (Notification Center) there is a Tap to Tweet and Tap to Post (for Facebook) options. Well if you don’t want to update to the beta but still want the Tap to Tweet button there is a widget for it.
As it is says in the topic you need to be running iOS 5.x.x. In order to install you’ll have to be jailbroken and go to BigBoss repo and search for it there. Here is a picture below.