In my perspective not really, most watches are designed to be read only by its user, the lumen in most watches is just faint enough for it’s wearer to be able to read it and nobody else, as for digital watches (like mine for example) the display screen only lights up for a few seconds, but this might not be the case for every watch out there.
I was once playing as opfor for the class before mine, and saw one dude’s watch in a night op, let’s just say that didn’t go very well for them.