Silk will hold down a splinter as well as anything.....Just glue it on a little wider than the bow limb is and file or sand it off right at the glue joint between the wood and bamboo. I use titebond three for silk, size the bows back with glue and apply glue to the silk backing and then smooth it out on the bows back. Take your time and work it as the glue sets up. I take something round like a socket and roll it on the back of the bow from the handle towards the tips to get all the air and excess glue out. This will provide you with a nice smooth backing.