Many people don't get or like Twitter Gee, even I didn't like it until recently! It seems so much like a source of steady interruptions. But there's not only a downside. Chris Brogan wrote an article on LifeHacker titled 5 ways to use Twitter for good where he lists reasonable uses for this new "web text messaging":
Quick Human Answers
Conference / News Briefings
Direct People to Good Causes
And as a bonus, as he points out, you get to inform people about the central question that Twitter poses: "Where are you now?"
By the way, I just installed TwitterAdium&xtra_id=3484 so that my IM away message always displays my Twitter status. It's so great when you can mash up software and services!