Short answer: replace CCC with ATI Tray Tools. The software has the most common stuff like setting anti-alias options and resolution and lots more for tweaking. And it’s very light-weight in comparison.
In my case, I wanted to disable forced anti-aliasing so that the enemy outlines in World of Tanks were visible. A well-known bug in the game with a working solution, but an another well-known “feature” in the video software made working around it impossible as I couldn’t access the video settings.
The most dorky thing with CCC is that while there’s a ton of trouble with it, it seems the install procedure is the real reason for it not working. In my case, it was probably because of missing libraries and so the software refused to start (the only hint was an error message in Event Viewer: Could not find Type [ATI.ACE.CLI.Component.Dashboard.Dashboard] from [CLI.Component.Dashboard]).
Many tutorials on how to fix this is to reinstall CCC and the drivers but I found this won’t work and is very annoying even if it did work. So, I recommend skipping that and use this little tool instead. Thank you Ray Adams, no thanks ATI/AMD.