I have been using CA "super glue" for decades for general household repairs. Back in the day, we bought packs of super glue in small tubes at the discount stores. Once opened, it would harden before you could reuse it, despite our best efforts with pins to keep them closed.
These days, besides household repairs, I use CA in the woodshop. I have two small bottles of CA: Medium CA, Thin CA. In addition, I keep GluBoost Fill n' Finish regular (medium) and Fill n' Finish Thin.
I use the GluBoost as a CA finish for turned pens and handles, like pizza cutter handles. Some people may not know this, but CA glue makes an excellent hard finish for pens; I use it more than other finishes for pens. I do not use CA finishes on very dark woods like dark rosewoods or dark bog oak. CA finishes on dark woods hides the grain and makes the wood look like solid black plastic.
I use the regular CA for a variety of woodworking tasks, but never for joinery. I use it to stabilize "punky" woods. I use it to strengthen drilled holes before I tap them for screw threads. My partner likes the blue tape trick for holding two pieces together while cutting them on her scroll saw.
Lessons learned:
Some brands of CA are better than others. I do not recommend StickFast. I am now using Mercury Adhesives thin and medium. Other brands I've tried fell somewhere in-between. Don't take my recommendation too strongly - everyone has a different favorite.
I highly recommend GluBoost as a CA finish for pens, etc. I have fewer issues with ripples, and the stuff dries crystal clear. Their accelerator is amazing. I tested it by spraying way too much and the glue still came out clear.
I like CA glue that comes in small bottles with a threaded screw-on cap, where the cap has a metal rod to plug the hole. The threads help you open the bottle, and the metal rod makes a difference. The StickFast glues have a "snap over" cap with no threads and no rod to plug it. They required unclogging often and I threw out a lot of glue because the bottle became unusable.
Most CA glues dry very brittle and hard. You can find flexible CA glues. I tried them, but saw little difference, other than a higher price.
Accelerators are very useful, but they make the CA even more brittle. Be sure you have the same brand as the CA glue you use. Sometimes other brands may work, but not always as well as the manufacturer's own.