Who's asking: Gautham, India
Without more information, it's hard for me to say -- but I've never been shy about speculating in absence of the facts.
First, if your girlfriend has asked you for a gift without prompting (e.g., "What do you want for your birthday?"), that's a bad sign. What you have in that situation is a business transaction, not a relationship. Asking for gifts is bad manners at best, genteel prostitution at worst.
But if you did say, "What would you like for your birthday/Christmas/our anniversary?" and she asked for a wristwatch, that's another story.
Traditionally, a wristwatch was considered a rather intimate gift, as they tended to be expensive. A young man courting a young woman might start by giving her a charm bracelet or an ID bracelet; might then, if he was getting more serious, give her a pin, either his fraternity pin or something else associated with one of his affiliations; and then, as the last gift before an engagement ring, give the young lady a wristwatch, so their hearts might keep time together.
Our courtship rituals have evolved -- well, disappeared might be a better word -- and now, if a girl says that she would like a wristwatch, it might just mean that she needs to know what time it is.
I own three watches, and none of them has worked in months. I should probably do something about that.