The Burlington Arcade is a good place to look at watches although they tend to be on the very expensive side. Portabello Road market on Saturdays is good too.

: Hi, I will be in London during the first week of December, I would
: like to know were are some good vintage watch dealers from the
: high end to the affordable ones. I will be just browsing mostly
: but wouldn't mind an affordable vintage chrono or diver. I'm
: fairy new to vintage watches so would love to browse and to see
: the watches in person.

: I would also be interested in meeting anyone for coffee to talk
: about vintage watches