There's a thread with more discussion on the 12.4 + 12.3 AMD drivers http://www.gamesas.com/topic/1368865-amd-driver-catalyst-discussion-merged-similar-topics/ already.
FWIW, I've http://www.gamesas.com/topic/1368865-amd-driver-catalyst-discussion-merged-similar-topics/page__view__findpost__p__20693695 12.4 with Skyrim pretty extensively on my system and have zero issues with my 6970. Zip. Nada. Well, some FPS drops in the "FPS kill zones" like that one random spot in Whiterun, up by Dragonreach, but I'm not 100% sure 12.4 caused those. My fault for not testing those more extensively earlier.
But definitely no crashes, system hangs, texture corruption or anything like that. Never had any issues other people reported with 12.3, either...I skipped 12.2. Now
those drivers were junk.
I'm starting to wonder if it has something to do with how people are installing these drivers--I always, always scrub out the old driver set and then do a fresh install of the new ones, whereas I know a lot of people tend to just install over the old set. Either that or my GPU is powered by unicorns and fairy dust or something.

Edit: Although it's worth noting that the 12.4 set
should be avoided if you have a 7850 (IIRC) and like to overclock it. Apparently AMD's gone and locked the clocks on that particular card with the 12.4 drivers to discourage overclocking. Why, I have no idea. But there you go.