Picked up a GBD Ellipse Billiard for a steal off ebay, first real restoration job I've undertaken. The pipe as a whole was in pretty good condition, so I went to work on the stummel first, the only real issue I found with the wood is after a thorough reaming and cleaning with Murphy's Oil Soap there was two deep scorch marks on the rim that no amount of scrubbing would remove, so went to work with some 240 grit sandpaper and the ball end of a ball-peen hammer to keep the roundness and that worked pretty good. Finished the pipe with micromesh pads and buffed with Decatur wax and the palm of my hand. (Thanks @sablebrush52) The stummel turnd out beautiful and I am VERY happy. The stem is not in horrible shape, oxidation is manageable, there is some teeth chatter that I will try pulling out with a heat gun and a minor chip on the button that I may or may not try to fix with epoxy. In the process of taking the steam in and out, the tenon separated from the stem! The fit is real tight! So my question is... how to fix?