If it is just something real simple try a jewelry store.
I have not found a place in town to really do difficult repairs with watches. I mail mine off to a guy in Denton. He takes care of the tough stuff. He fixed a dive watch and even pressure tests it both wet and dry at 100 bar (that is almost 1000 ft of water depth).
old thread, I know, but I called Fling and they told me they do not work on automatic watches at all. They'll do battery replacements or adjust bands, etc.