I’m having the same problem with a 2020 Model X and a Clipper Creek HCS-40P. I have the car set to use scheduled departure, and if it’s not actually time to start charging (or maybe when it knows it shouldn’t charge due to peak utility rates) and I plug it in, then the charger flips on and off every few seconds. If it’s late enough in the evening, so that it’s ready to start charging, then it works properly. It also works fine when not using scheduled departure, but I want to use that feature as part of my electric utility’s time of use program.
Another data point is that our previous car (a 2018 Model 3) works just fine with scheduled departure and the same Clipper Creek. Our Chevy Bolt also works fine with its equivalent of scheduled charging.
As I’m writing this, I also just tried switching to Scheduled Charge Start (instead of Scheduled Departure). That is working properly, though I would prefer to use Schedule Departure as it is smart enough to start charging right away during off peak utility rates on the weekend.