I'm 38 (and a half!) and just started learning to surf in April. I've always loved the ocean and watching surfers, but somehow felt it was something only "other people" could do. I've done a lot of sea kayaking and sailing, and some windsurfing in the past, so I'm fairly comfortable in water.
What finally got me out there was a new friend who surfed and invited a bunch of people to come learn one Saturday. I went and immediately was hooked - despite having to be pushed into a wave and only standing for about one second! I started going with him once every week or two through June and finally bought a board (9 ft epoxy).
Lately I feel like I've stalled in my progress, even though I've increased to going once or twice a week for the past two months. I'm having SO much trouble catching waves at all, which obviously makes it hard to practice being on the board. So that's discouraging.
As for how being older is affecting my progress, I think that so far it's helping me. I'm in pretty good physical condition because I exercise a lot, and I think I'm better at knowing how to use my body in a way that doesn't injure it, or knowing when I need to give it more rest or attention. In the past, I was more likely to injure myself exercising and then not handle it right. I also care less what other people think of me or how I look, etc. - and that's a good thing when it comes to learning to surf!
The three ways in which being older may have a negative effect on my progression: 1) I have less freedom to move to a place closer to the beach -- right now it takes me nearly 1.5 hours to get there; 2) I lack friends to surf with (my one surfing friend is leaving the country) because those who might have been interested in the past now have kids, etc., and 3) I'm more concerned about getting hurt because somehow I seemed to have stopped being immortal.
As an example of #2 and #3: Yesterday the conditions were challenging for me (a swell came in) and I think if I'd had a friend with me I'd have been more likely to go for some waves rather than sit back.
Mostly, I wish I'd learned how to surf when I was younger so I'd get to spend more of my life surfing, and also because then I'd already be an awesome surfer now!