The glue the shop uses is just a wood glue, which is more of a water repellant/sealant for the screws as opposed to an epoxy. I probably wouldnt do a pond skim or ski in the rain right after, but for normal skiing id just send it.
One of the most common glues used (Tognar for example sells it) is Roo Clear, which is a melamine glue. It has a 20min pot life and 4 hour cure, I think you should be fine
You should be fine to go skiing right after but you prob shouldn't go skim a pond or something like that because your skis will get drenched with water.