I think it is not a bad idea. The shop might have ads or something to help fund the faucet. There might be a timer (5 min for example) for controlling the claims (only one claim every 5 mins). People might wait in queue just to claim Bitcoin!. Other people would see the queue outside and be curious, so more people get to know Bitcoin.

As other fellow poster said, there are some things to take care off, but idea seems good to me.