I have a 1.25" Atlantic Pygmy (Centropyge Argi) and no probs. "Mostly" if they're well fed, they leave other stuff alone. That's a matter of the individual fish tho. I've heard of Flames picking and Lemonpeels that don't too. Bottom line is
any of the Centropyge genus is a risk. The only Angel I know to be reef safe is the Japanese Swallowtail, but they're pricey, hard to come by and not a beginner fish.
For me, the fish went in before the corals. It looks at them, but doesn't care to eat them. It's happy cruising on the algae and pods in the tank.
Personally, I love Flames, but my tank is too small. Tank size may be a consideration as to whether they pick as well - idk. LFS has a 4" one in one of their frag tanks though. It obviously wouldn't be in there if it were eating their profits
Angel and the clown should not be an issue, unless the Clown is particularly aggressive and larger than the Angel.