They aren't going to "chill". They aren't like clowns. Fish occupy territories in the wild, but don't hang out in bonded pairs often. They come together to breed, but don't hold fins or anything. Some butterflyfish pair off, and clowns do it. There are others too, but some fish are solitary and participate in mass spawning: some groupers. They are all different.
People try and relate things to clowns too much I think, and one of the reasons they are different is we can replicate the environment a clownfish will spend its whole life in, in a 2'x2' area. Trigger territory however could be 100s of meters, just like tangs and angels.