I’ve had tea and coffee with a couple priests, but that was because they were helping me work through stuff in both cases (so very much being ‘dads’ in their official role, not friends).
I reckon when I get older I may have friendships with certain priests, but I think like any friendship with any person, it’s all about a personality fit. Plus, I’m a lady, so unless I get married or become a religious (or consecrated single, etc), I would expect a priest to feel uncomfortable with a one on one friendship with me, not least because of what that could look like to other people.
So for now, nope, I haven’t really ‘socialized’ with a priest except in a crowd of people. If I get married though I definitely think I’d LIKE to make a habit of inviting a priest over for occasional meals, if he wants to. Mainly because I think it seems important for a priest to know he’s cared for by his community, and it’s not just a constant one way relationship with no peer fellowship for him.