I once met someone with a great Rescue Tape story. They were motoring a sailboat through the Panama Canal when they had a coolant hose start leaking. One doesn't just pull aside and fix things while transiting the Panama Canal. It requires meeting a very tight timing schedule with no room for having issues.
They were able to wrap the leaking hose with the engine still running, and it worked perfectly. I haven't done anything quite as crazy as that but I always have some around.