That’s funny. You made me stop to think, “I’ll bet someone has actually tried pop rivets!”
It may be a bit of a “steampunk” aesthetic, but if you were careful to center those rivets at frets 3, 5, 7, 9, 12 15 and 17 as position markers (side dots), you may start a trend.
Boomstick,
There is a reason why your binding is coming loose. As the solvents flash ever-so-slowly out of the plastics, the binding shrinks and that is what breaks the glue bond. Most players grip the neck at frets 1 and 2 more than any other position and that is one of the most common locations for loose binding (a close second is the waist area). As others have mentioned, you can re-tack the shrunken/shrinking binding using a variety of glues (there are still a couple of dedicated adhesives available, but they are highly toxic, stinky stuff by today’s standards). Be aware that any solvent-based glue, while arguably more effective at the task, runs the risk of A.) melting the binding and B.) ruining the finish. Mitigate the risk by either using a water-clean-up alternative or be extra cautious and skillful with the solvent-based glues. You may want to bind (wrap, tape, etc) the binding as the adhesive dries or cures for long-term success.