A guy on Twitter had a problem with Twidroid force closing itself whenever he tapped Retweet with comment. I have heard of people having a problem like this whenever they Refresh as well. Here are some steps to try to solve this problem.

1.. Open the Settings app.

2. Tap Applications.

3. Tap Manage applications.

4. Tap Twidroid.

5. Tap Clear Cache.

You should be able to retweet just fine without the program closing on its own.