When we have gone to Aruba before, we saw people fishing from surfboards. I've never seen fishing rental places, so I wonder if it's just the locals who do it.
I have seen that too and had amazement just watching it. I think you must be pretty talented to do it. I can think of all the ways I would probably get hurt.
I wouldn't mind falling in, but I would be afraid of being eaten by a shark that thought I was a tempting seal fish dish, with my legs dangling from the surf board.