For the cheekpiece, also cut it with a backsaw (for those that are relatively flat and square underneath). I now, finally, have a couple of nice long paring chisels, which I have yearned for lo, these many years, and they are exactly what I need for chiseling off under the cheekpiece. I also have a small bullnose plane that can come in handy for this area. In fact, this is the only thing I ever use this plane for.