Yes, that's very likely (although I haven't tried it myself). Mouthwash contains a phenol-based antiseptic; that would kill germs that cause acne. It might cause a temporary irritation on your skin, making it redder and smart for a while, but this will pass. It wouldn't do much harm if used externally.This phenol-based antiseptic, incidentally, is very similar to that in Lysol/Dettol (common disinfectants for the floors in hospitals or bathrooms). And that is why I don't use mouthwash!