I admit it might seem funny to imagine a centaur climbing a cliff but not any more so than a four foot high halfling doing the same thing. with a strength of 22, and a reach when on their hind legs of almost 10 feet ot better. Remember it is fantasy, and centaurs are very flexible, hooves are ridgid allowing a very narrow cracks and ridges to be used as foot holds, also two very strong hands and arms to pull upward, specialized climbing gear also adds to the climb skill. It is not the case that the entire horse half is useless in climbing as is assumed by some, the four hooves are indeed usefull climbing impliments even granting two additional anchor points versus and bi-pedal creature. There is no common sense that says centaurs can't climb it is simply the idea that horses can't climb, horses lack the intelligence and will to do so. Centaurs have the ability and the will to do so, and they can climb...