In order to beat Chopper Man, stay away from him and be faster than him. When you see Chopper Man run after you he sometimes stops and turns around to throw Alyssa a spinning ax. You will know when he is about to throw it becuz he says "catch." Right when he says that throw a slightly charged arrow at him and it should hit his ax. The ax ends up hitting him and giving you enought time to super charge your arrow and bind him. Once you see Alyssa shoot her finale arrow to beat him, Chopper Man might come back and still fight Alyssa. This time he will say "take this", and now his ax spins and follows Alyssa for a while. Just hit his ax as he is about to throw it at Alyssa and it should cause you to be able to bind and kill him.