You know . . . everybody always talks about sutures, but just keep in mind that superglue can be used to repair a cut.
Also, it's often a good idea to leave wounds open to the air. Closing a wound can "seal in" (for want of a better way of putting it) anaerobic bacteria. This can lead to serious, and/or life-threatening conditions like gas gangrene (which killed many soldiers in WWI), tetanus (or "lockjaw"), and "wound botulism."
In a crisis, one can take a piece of cotton cloth (like part of a tee shirt), and char it lightly with a flame before using it as a bandage with duct tape or Gorilla tape. Most wounds will usually do fine if they can be cleaned with soap and water and bandaged with lightly charred cotton cloth (the cloth is charred to kill bacteria).
Some of the most dangerous wounds are deep, penetrating wounds to face, neck, torso, and abdomen. Punjii sticks are often treated with a mixture of blood, raw egg, and feces . . . so my feeling is if someone has been stabbed by such a thing, then they will almost definitely die from a condition call sepsis, or septicemia.