If anyone ever opens the front flap of the black bag I carry at knife events, they will find a minor surgery kit, sutures, gloves, anesthetic, bandages, and just about anything needed to stop severe bleeding. When at such events the time it takes to get EMS people there can be life or death.
At home in the shop, I keep bandages and tape in a plastic box ( dust gets into everything if it isn't sealed).
Super glue is good, but it should not be an immediate treatment of any severe cut.
Funny that this thread comes up today. At work I was working on a sword, and stabbed my finger with it. Luckily ( or not) it was a mini.
It is a 4" long 1902 style Infantry officers saber with silver fittings and silver sheath. As I was rapidly working it in and out of the sheath to work smooth the inner surfaces, I accidentally pulled it out too far and it came out of the sheath. On the return stroke I ran it nearly all the way through my thumb tip ( yes, it was razor sharp).If it hadn't hit the nail from the inside it would have gone through. On its trip through the fingertip it hit an artery, and blood spurted all over the place from the tiny 4mm slit it made. I applied pressure to stop the squirting and went to wash it up. After treating the wound with peroxide and applying neo-sporin, I sealed the opening with cyanoacrylic and applied a pressure bandage (a couple of tight band aids), and covered the finger with a cott. That took care of the bleeding, so I went back to work on the sword and the rest of the day's jewelry repairs. When I got home I went out to work in the shop for a while. Afterward I took a shower and decided to check the finger. At first I thought it was just black with steel dust, then I realized it was black and blue as if I had smashed it. The blood had flowed under the skin from the knuckle to the tip. No real problem, but it is going to look ugly for a week. Fortunately, it was such a quick and sharp piercing that it has no pain.