I use a 60mm f/2.8 AF-D Micro. An old lens but extremely well made and available used from around £150. For watch close ups I always use a good tripod, manual focus and a remote release but lighting is the most critical factor, along with lots of patience.
Nikon also did a 105mm version which is probably better for getting further away, so you're not casting either reflections or shadows on your subject.
Cheers,
Gary