I read a post a while back about this question. The suggestion was...your wife's "Magic Nail File". The one that has 3 different grits. So under the cover of darkness, I borrowed my wife's. I used 1000 grit sand paper first, and then polished them up with the "Magic Nail File". Worked like a charm. Beautiful shiny finish! Only problem was the abuse suffered by the dainty little critter. It looked as though somebody had locked it in a vice and tried to polish buffalo horn with it! Oh, and then left it on the shop floor so the dog could have its fun with it. In my home, this would have been considered an unacceptable security breach. So I bought her a new one from Walley World, and under the cover of darkness, replaced the original with the copy. International crisis averted, and I have a horn polishing tool of my very own.