Here is a good resource that describes what the site does about cheating: https://www.chess.com/forum/view/community/discussions-about-cheating
Discussions in the open forums about cheating are not allowed but the reference I provided does describe an official club that does allow discussion.
I have had a computer cheat in the last two 15 10 swiss I entered (one confirmed and one strongly suspected). Both were new-ish free accounts. These computer cheats make entering tourneys a complete waste of time since chess.com doesn't seem to update results of tournaments when computer cheats were found to be involved. All tournaments should be subscriber only events. This would atleast make it less likely for obvious cheating to occur and give more reason to subscribe. If anyone can think of a better way to deal with cheats I'd like to hear it.