Dryer won't turn on after just being on.

Electric dryers have several self protection features to ensure against electrical fire hazards as well as preventing electrocution. The simple answer may be that restarting the dryer is prevented from a temperature sensor triggering a safety shut off until internal dryer temps drop to allow dryer use. Once cooled and the dryer working again as of nothing broke is similar to my electric dryer. As long as the lint filter is cleaned out before starting a dryer cycle then your dryer seems to be working as designed. In my home, my dryer sits in a closed 2-car garage with a low ceiling and zero ventilation. It will run for less than an hour and shut off prematurely. Experiments shows it can run longer when the door to the basement is opened but still shuts off prematurely. Letting it cool for half an hour lets it run again. Opening the garage door is one solution but in freezing winters. Remember, self protection features preventing any electrical fire hazards and/or overheating for any reason. Better to shut off, be disappointed with partially dried laundry then restart after a cool down period than have a fire from overheating. Venting heated dryer air to outside a home can help as all dryers need fresh air. This includes gas dryers.