White glue is not a mess to work with, a little on the back of the paper splice pattern, stick the pattern to the limb, cut out the splice, glue the splices and shape the handle section. After you shape the handle, any remnants of the splice pattern will be gone, the paper scrapes off very easily, much like shellac.
The best thing about white glue is you can slide the pattern around on the back of your limb while it is still wet with glue to get a perfect alignment with centerline. With contact cement you only get one shot at getting things right.