It's designed to work with a cyanoacrylate adhesive. They say it's designed to only work with their cyanoacrylate, but I bet it would work with other brands too.
Consider using the 3M brand cyanoacrylate though (3M PR40); the reviews say things like:
This contains a curing-accelerator, so if you want an overall average cure time, you'll actually need to pair it with a slow-cure variant of superglue.