I'm thinking of that type of glue that you apply to both sides, let dry and then press together. Like this. It seems counter intuitive.
Other glues behave in the opposite manner, and get less sticky as they dry. So does duct tape. So does jam. And actually everything else I can think of. The container recommends letting the two parts dry to touch dry. It grabs really well even if you leave it quite a bit longer.
So what goes on inside contact glue?