Before DH discovered RC airplanes, he was an avid woodworker. Mostly used Gorilla Glue or an Elmer's Woodworkers glue - sort of a tanish color. Unless it was a small project that didn't matter, he always used glue and screws.
We have a spot on the back side of our dinette in the TT where just a wooden panel was used and it's been put on with staples. He tried some glue and clamps, but didn't hold. Believe the next step is to take off the loose cushion, add a slat of whatever size and the Gorilla Glue...can't use screws as it's a very visible spot.