the location of that click could be helpful in locating the problem May need to take the battery out and have it tested to make sure it hasn't discharged, or at least put it on a charger and see if it has ran down due to a faulty charging system. If you have a fuel solenoid on the carb it will cause the engine to die if the charging system isn't working and the battery has ran down. Most of the time when a safety switch goes bad you don't get a click when attempting to start, normal you get no sound at all.