Do you want an application that lets your customers interact with you via Twitter - but to do so via "self-service"? i.e. without a person having to help them? What if you wanted to make it so that people could RSVP for an event via Twitter and receive an automated acknowledgement?
The appropriate automation and scaling of your Twitter usage is a topic near and dear to me... I've written about it myself over on the Tropo blog with topics like "creating a 'night service' for your Twitter account." (And yes, I do want to continue the series, since it's not really a "series" if I only wrote Part 1!) It's a topic I know I'll keep returning to.
Anyway, check out Justin's article... and Tropo accounts are free, so you can try it out yourself!
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