+1 on this idea (from the original poster), but with a 3-5 minute repair delay, during which the engine cannot be restarted until AFTER you have held the start button for at least 10 seconds (this reasoning is because the pilot would presumably get out of the plane in the meantime, and getting back in would take some time).
Also, weren't pilots able to plug up oil/fuel leaks with chewing gum? This maybe completely untrue, but if it is true, it's added support to this
aircraft supplies idea. If it isn't true, I still support the Original Poster.