Use Barge Cement, It's the first choice. Rubber Cement would be second. You can pull the rest off later if you want without pulling up the finish. In fact you can generally just roll the old glue off with your thumb later if you decide to switch.

Duco, Super glue all will pull thhe finish off later.

Glue both surfaces and wait until they are both tacky. Press them together and hold. You can roll off the excess with your thumb, easier to do when wet than later. As long as both surfaces were clean and degreased the glue will never give.