I use more and more thick CA in structural areas with heavy loading and am decreasing my use of epoxies. I have built boats with it for years and there is a lot to learn in using it well. Lots of additives and modifiers. It really can do more than any other type of glue. Some people have trouble with the smell, my wife says it smells like cat pee. Doesn't bother me, though the cat pee used to... no more cats now so not an issue. Of course the issues with epoxy allergy are very well documented in the aviation and marine industries. The most harmful part of it is direct contact, but sanding is just as bad. If you are going to come in contact with it wear gloves. If you are going to sand it, wear full coverage clothing and a respirator.... not a dust mask, a full respirator. It is a nasty nasty allergy. One note on CA's, they do not bond well to most plywoods we use because of the acidity of the wood. If I'm working with anything that does not require epoxy level strength though I will use thin or medium CA depending on the joint fit. Wings are entirely thin CA.
Waterproof white (and yellow, and brown) aliphatic glues are very strong. They are more water proof than epoxies and hold better than epoxies when immersed in water. I've been involved in extensive immersion testing with epoxies and we did some waterproof white glue tests just as a "poor sister" comparison. Turned out to not be quite the poor sister we expected.
bob branch
... please pass the microfibers...
Gorilla glue and the others of its type are very strong and waterproof but they have some not nice issues you need to be aware of. The expand tremendously on setting. If you are laminating parts you must weigh them down heavily. This has been quite an issue in the 3D RC community when we started using it to glue balsa sides on foam cores. Things slid around as they set. Also it will stain your fingers dark brown and you cannot wash it off, clean it off, or peel it off. It will be several weeks til the skin exfoliates. Lastly, while it is very water "proof" it is not water "tight". Water will run thru it like going thru a collander. A not nice surprise for some doing boat building or aircraft floats. But if you can secure it and account for the expansion its quite strong. It shapes easily when set by the way. You can cut it with a plane or sand it. I usually use a knife. If you were working with very tight precision joints I'm not sure you would like the result. Its expansion might open the joint.