As an avid and loyal user of the Tweetbot client, I would be absolutely pissed if I suddenly couldn't use it anymore because they had reached their token limit. Which is why I never log out of Tweetbot, because as I understand it, once I log out I will need a new token.
Frankly, this wouldn't be too big a concern if Twitter themselves could actually design and build at least a half decent client of their own. Their current apps (for the iOS in my case) are barely usable.