Yeah you can burnish the edge so its smooth and slick.

1: Rub edge with a 180-200 grit sandpaper to get it even

2: moisten edge with a bit of water then get a piece of denim or canvas and rub the edge vigourously, really put a bit of effort into it. If you have a dremel you can wrap the the material about one of the heads and use that. The fibres of the leather will compress and begin to shine after a while.

3: get some beeswax and rub it on the edges, a little goes a long way, then rub with the material again to seal the edge.