http://www.macrumors.com/2009/08/26/adobe-creative-suite-3-unsupported-on-os-x-snow-leopard/
From Adobe Principal Product Manager for Photoshop John Nack as quoted by MacRumors.com
Apple and Adobe have worked closely together (as always with new OS releases) to test compatibility. As for CS4, everything is good with the exception of auto-updates to Flash panels (which I guarantee you’re not using*) and Adobe Drive/Version Cue (which doesn’t work at the moment on 10.6). CS3 & earlier haven’t been tested.
Although I have not personally tested this, and the article does not indicate it, it’s safe to assume that this statement applies only if the user has applied all updates using Adobe Updater.