I've worked with CA glue since the early 60's, when it was called Eastman 910, and patented by Eastman Kodak. It sets very quickly when it is spread thin, like when being squeezed between the two parts that you are assembling. It's not a crack filler. The thinner you can make the joint, the faster it will set. There are thick and thin versions. The thicker version works best for most woodworking projects. An aerosol accelerator lets you hold the glued pieces together and then just spray the joint for it to instantly set.
If you get it on your fingers you will likely discover that you have glued your fingers together. Safety glasses are an absolute must when working with it. If you should manage to glue body parts together, quickly putting warm water on the glue joint will soften it. Acetone will also soften it. Whatever you do, don't forcibly peel your fingers or body parts apart because it will tear the skin free of one or both when you do. A woman on Scroll Saw Forums recently spilled a bottle of CA glue on her foot and sock. Then removed the sock and the skin came with it. She has a very nasty wound that is going to take a very long time to heal. Photos were included in the post. She thinks the glue burned her, but her wound looks to me like the skin stayed on the sock when she pulled it off. The reaction does give off some heat in the setting process, but not enough to burn that bad.
I learned early on to keep the bottle of CA glue pressed into a hole in a thick piece of foam plastic about 4-6" square. This makes it nearly impossible to tip the bottle over by accidentally bumping it. The small bottle is easier to handle this way too. I also make certain that the cone shaped dispensing lid is installed when using it, never just with the flat storage cap removed. This cone shaped dispensing lid prevents large amounts of glue from coming out all at once if it should get tipped over, and only the few drops are needed at a time anyway, so why risk a big spill. Thin surgical gloves will help keep you from gluing your fingers together, but the glove fingers may get permanently glued together, so disposable gloves are recommended
Charley