Your flash created a hot spot in teh upper right hand cornere. Perhaps a stnad, tripod, or something and a longer shutter speed would have helped here.
Other than the watch case, there really are hardly any obvious curves here. You've managed to avoid reflections to a great degree, but the lighting is still too directional for such a finely detailed subject -- try more indirect lighting for this, IMHO.
To much light. Maybe if you shut the flash off and had the watch in a well lit room, the light would have been more evenly distributed on the watch. I like your idea. :)
This is very similar to another photo in the challenge. I like the subject but this photo has the same distracting feature as the other one like it... the glare is a little rough....