wear a dress watch. since you have silver links, silver/white gold watch would match the best. or any family heirloom.
i wore a rolex my late father gave me on my wedding.
It's your wedding - do what makes you happy. Some people wear sneakers to their own wedding. I wore my Speedmaster with a tuxedo because it's my favourite watch and my wife gave it to me as an engagement present. Hopefully everyone can forgive me for breaking the "rules" of style.
And I strongly disagree with ubelragazzo. I suppose some people might think you have some place to go after your wedding, but that seems like a rather strange inference so I really wouldn't worry about it. To the contrary, I found it very useful to wear a watch to my wedding. The entire day goes by in the blink of an eye so it's important to be aware of the time. For example, my reception was held at the top of a mountain overlooking the city. We wanted to take some pictures against the city lights in the evening. But you don't want to get carried away and spend the whole evening taking pictures and not interacting with guests. I didn't bring a phone to my wedding, but if you're using one to check the time, now THAT will look like you've got some place to go after your wedding.