I had a similar problem with a cocobolo handle on a folder a while back. Not laminated, but a piece chipped off next to the anchor pin. If you still have the piece that came off, you might just be able to glue it back on. I used a drop of super glue on mine, and it's held up fine (most of the time, glue will be stronger than the wood itself). If you don't have the chipped piece anymore, you might just fill the void with some epoxy, then sand it to shape & smooth it. You can get epoxy that's made for woodworking, and I think some are even available in colors, to 'generally' match your wood's color.