Do you allow landings on short fields?

My club recently had an airplane damaged in an overrun on a 2200 foot
runway. This is the third such incident in the last 5 or so years
(two of which resulted in serious aircraft damage, but fortunately no
injuries). We're considering tightening up our rules about short
runways. One possibility would be to outlaw landings on anything
under 2500 feet unless you've got a commercial certificate.

We're based at HPN, where the short runway is 4500 feet. This doesn't
help keep one's short-field landing skills sharp.

I'd be interested to know what sorts of rules other clubs (or FBO's
you rent from) have about this sort of stuff.