What does "See it styled" mean?

styled TFD

the way in which something is said, done, expressed, or performed

As in:

See X worn, used or in action.

What does "See it styled" mean in this context, and is it the correct use of the word "styled"?

It is typical advertising shorthand. It just means "Look at the watch being worn stylishly by the people in the following pictures."

Part of the purpose of such language is to give the reader pause and make them think about the meaning of the words and the product. That way they are more likely to remember it and eventually buy it. It's common these days to make a slogan into a mini-puzzle in order to engage the reader's mind.

Well, I found all of the above answers correct and would like to elaborate on the psychological aspect of the advert. The advertisement wants you to see how the watch looks when worn with different combinations of outfits and in varied situations/backgrounds. Maybe, they want to convey that the watch would go well in formal as well as informal situations.

Also, I agree with @chasly-supports Monica who pointed it out as being an advertisement gig (I saw a "see the fit" in the link given by you).