The great (or sucky, depending on your point of view) thing about cyanoacrylate, aka supreglue, is that it has terrible shear strength. It has great pull strength, but knock it from the side and pieces come right apart. CA is great if you need to hang yourself from a hardhat, but is pretty useless as soon as any side pressure is applied.
Take the item and put it in th freezer for an hour or so. Take it out and you should be able to seperate the two pieces with a little bit of a twist or tap from the side on a countertop.
-Fred