I, myself, have had this problem. I got it a year after I had braces and it lasted about a year. Although I experienced no pain, my jaw would seriously "pop" and dislocate every time I yawned, chewed something tough, talked for a long time, opened my mouth for a long time, etc.
It worried me that I would get "lockjaw," but my orthodontist kept playing it off as a casual thing, even though the pops were really loud.
I started forcing myself not to open my mouth wide, chew anything hard, or do anything that would strain my jaw. Basically, I tried to do nothing that would cause my jaw to pop.
It's been a year since my jaw stopped popping!
Maybe this will work for you