I don't know how one would class my social life. At my university, I generally eat my meals with my group of good friends, though I don't really talk to other people I'm in class with (unless I already know them or it's a class discussion). I don't go to parties or social events. On the weekends, I generally either hang out with my friends in their rooms or I do things alone in my room (read, write, listen to music, watch films, etc.). In terms of a relationship, I don't really see any big chances of meeting a girl I'd want to date. None of my friends, save for one, has a girlfriend at the moment, and none of them (though non-Aspies) do just as poorly as I in that area.
When I'm home on breaks, I don't really have a social life. I don't have any friends in the town where I live. When I try to make plans with the friends that live about an hour away, they're generally either too busy or cancel at the last minute (which I'm beginning to wonder if it's more than mere coincidence). Sometimes I get a bit lonely, in terms of wanting a relationship (or even the chance to date a bit), but it's not too bad when I'm at home. (Mostly because the opportunities are much less, to nothing, at home, and they are the added complications of my very religious mother.) So, I generally spend most of my time at home alone: doing things around the house, reading, and working on my fiction writing.
I don't know if there's much of a correlation between being social and having a relationship for me, in terms of if I would be more social if I was in a relationship. I think it would have to depend on what she is like.