Cincom's Product Evangelist, James Robertson, has put together a basic Connection to the Twitter API. It's available on an "as-is" basis, and should load cleanly into VW 7.6, VW 7.7, ObjectStudio 8.1, or ObjectStudio 8.2. Developers utilizing this code still need to visit the relevant Twitter pages and acquire the appropriate application credentials themselves.
To get started, login to the Public Store Repository and load the package (not bundle) named "Twitter". You can also download the parcel here. From there, you can have a look at the following screencast to get started:
Feedback, suggestions, and any contributions are welcome! Either email James, or just publish your additions back to the repository.
The Twitter Connect has been used for a client application already: There's a plugin available for BottomFeeder that allows posting of updates directly to your Twitter stream from BottomFeeder.