There's a product that makes super-glue get hard instantly. It's called "Kicker" which is slang but if you go to a to a hobby shop that sells radio controlled cars and airplanes you will be able to get all kinds of super-glue products...
They have EXTRA THICK, THICK, THIN, and NORMAL super glue and the kicker.
Super glue (cyanoacrylate): Was invented by the U.S. Army for field medics. It was designed to glue skin. It's used to glue wounds shut so a soldier doesn't bleed out before he gets to a M.A.S.H. unit.
That's why it works so good on gluing your fingers together.