To Fix a Broken Wood Tenon on a Tobacco Pipe, you have to remove the Tenon from the shank. After that, examine the Tenon and locate the hole or crack in the wood. Then, Apply wood glue only to the area that is cracked. You need to try to get it only in the crack or hole so that you can keep the aesthetic look of the Tenon. Next, Place the Tenon in your C-clamp and tighten the clamp.
Forth, let the Tenon to sit for the length of time required on the instructions of your glue bottle.