I stopped at the Hamilton Township New Jersey Supercharger station on my way back from Pennsylvania, plugged in my Model X, and went into Barnes and Noble to kill some time. After perhaps 15 minutes, I checked the Tesla app on my mobile phone, and saw that it said "charging stopped". I went back to the car, opened the door, and, sure enough, there was a yellow warning message on the dash that said something like "cannot continue charging, disconnect, reconnect and try again". So I disconnected, reconnected, waited until the mobile app got past "starting charging", and the app and dashboard both reported the "stopped, try again" message. I tried one more time, this time watching the dashboard. It went through the "starting charging" phase, then failed again. At this point, it seemed prudent to try the charger next to mine. I did so, and the dashboard went from "starting charging" to "1 hour remaining". But I thought, "What if I hadn't noticed that the charging had failed?" So I called roadside service, selected Supercharger problems, and reported my experience. I was somewhat surprised that the answer was "If you aren't having problems now, that's what's important." But that's not why I called, and it's not all that's important. It was dumb luck that I checked the app before returning to the car, expecting enough mileage to get home. I was hoping to hear that someone would check out the unit, so someone less lucky wouldn't waste an hour. I was tempted to hang a piece of paper on the charger, saying "this might be defective". But I had no paper, it COULD have been my fault (although three fails at one station and instant success at the station next to it makes this seem unlikely), and it seems very "low tech". I got the impression that the guy on the phone was able to check the status of the charger I had problems with, which would be great. But I'd hate to think that by just dropping the issue, I compounded a problem for some other Tesla driver.