I haven't tried to polish out these tiny scratches, but if I found a way to do it, it would only be a matter of days before new scratches would appear. I take it your referring to the chrome surround/edge? I've been really careful with my iPhone, I won't even set it down on a table without great care or at least setting it on something soft on a table. (cloth, jumper, whatever...) but still tiny scratches appear 😟