Parrot dishes are often constructed with a metal ring the dish (usually stainless steel) seats into. It makes it harder to flip it but not impossible. Our parrot was bad for dumping his water dish over so we built a small bracket attached the access door on the cage that pins it down from the top and makes it immovable. One thing we did experience recently was that our parrot decided he liked to sit on that metal dish more that he liked his perch.
Though he has had the same configuration for years this recent change in behavior caused pressure spots to develop on his feet. This went away when we replaced the dishes with plastic ones, which unfortunately, is not an option for chins. Anyway, on the remote chance you run into a chin spending long hours perching on a metal dish or irregular shaped object watch for problems.