So, in the end I didn't up using it much. I'm still listening to the Twine users and hoping to hear from them how I can integrate it in my work life.
I do find that Twine could mean a lot in the enterprise. I would be wonderful to drop all my stuff in their, have Twine find interesting related documents, bookmarks and people, connect to people that work on related stuff, etc. Maybe we can try this in the near future?
Two interesting posts on Twine can be found here and here.