One of the cool features coming to iOS 6 this fall is a Twitter widget for the Notification Center. Users can also expect a similar Facebook widget when the service is fully integrated into the iOS system with version 6. In the meantime, it's possible to install the Twitter widget right now on jailbroken devices.
After jailbreaking your iOS 5 device, you can find the iOS 6 Twitter Widget in Cydia under Addons (Notification Center). The package comes to us free from developer Mathieu Hendey on the BigBoss repository. Once installed, the add on can be activated by navigating to Settings -> Notification Center -> Twitter Widget -> ON.