Rolex Service Question

[edouble]

I've been lurking on this forum for a while and am making my first post...

After doing much research (here, largely, thanks to all) I purchased my first Rolex a month or two ago. I bought, a pre-owned platinum YM locally and haven't had a second of buyer's remorse.

In any event, it's consistently gaining 10 seconds per day. I can live with it, but it's a minor annoyance.

What I'm wondering is how concerned with this should I be and, if I take it to my nearest AD, is this the type of thing they could likely fix locally, or would it have to go to a Rolex service center? I'm not ready to part with it for an extended period of time for a few seconds a day just yet. Some kind of vague questions, I know, but any thoughts would be appreciated.