OK Clown, I was running on a cart path off the beloved fairways.
And yes, I often ran on the actual golf course, fairways etc., never on the greens. They came out one morning and stopped me, told me as long as I stayed off the greens and out of the way of the golfers it was no big deal. I thanked him and kept it to a minimum and only early mornings, certainly did less damage with my running shoes than a golfer digging divots with a club.