Keep clear of the PVA from the big green shed. Just not built for guitars. There was someone on the forum a good 12 or so months ago who glued his neck in with PVA. Gave it a couple of days, applied strings and therefore tension and then noticed his action getting worse, etc.... Turns out the glue had given up the ghost. Easy to fix, but a pain. Better stuff is the glue PBG supply or get some Titebond from Masters / your local woodworking store (Carbatec). Strangely it's cheaper and works better - maybe it's just because it's a name brand markup... Shouldn't set you back too much (~$5 from memory) and it can be used for anything wood related. It's also a lot more stable over time. Aquadere (PVA) tends to go to water when heated > 30 degrees.

With that monologue - cheap tube of superglue and a couple of dots best outcome. Easy to remove if you ever need to and easy to do.