I live in a rented apartment with a mini-split, and it worked great for 363 of the last 365 days. Those two days, we had a sudden cold spell and temperatures went down to -6 F (which isn't that cold), but we found out the hard way that our unit was only rated to -4 F.
Once it went down to -5, the heat pump didn't just work less efficiently, it stopped working altogether. It was the only real heat source in the house. We tried turning on the kitchen oven for a while, but it couldn't keep up. We had to leave the apt for those days and crash with a friend.
Other than that, though, it's been wonderful! SO much nicer than other heat sources (furnaces, space heaters, etc.) It's comfortable, cheap, quiet, and has its own thermostat. We just leave it on and it does its thing and it's magical.