They do have Old Timers games in all sorts of sports, most notably baseball I think. The only example of an "old-timers league" with serous money in real like that I can think of is golf with the Senior PGA. But I'm sure your local YMCA has some sort of over-30 basketball league, I've seen lots of those sorts of leagues around for ordinary older folks (who have to play to play instead of the other way around).
Don't ask what sort of Chunks they are, you probably don't want to know. Blowing Chunks since Season 4!