Touiteur is an extremely full feature twitter app for Android handsets from LevelUpStudios. I use it daily and it is a very stable, feature rich, and slick app. There are gobs of customizations in this app.
The free version works just fine for most people, there is a premium add-on to unlock more features as well.
Differences between the Free and the Premium versions
* Multiple accounts, with view filtering
* 3 Widgets available for you home screen: 4x1, 4x2 and 4x3
* Url shortening
* Integrated browser and picture preview
* More customization options, such as the light theme, changing the bottom bar color, led color for notifications, custom ringtone for notifications
* More features will be added soon for the Premium version, such as Twitlonger support
Sharp icons and images
Most all features you need for twitter
Sometimes lags (very rarely)
I give this 4.5 out of 5 Phandroid Buddies
Video Review for Touiteur