Usage patterns
顎で使うto order someone around arrogantly (lit. 'use with one's chin')
He always bosses his subordinates around arrogantly.
顎が出るto become exhausted (esp. from physical exertion)
I was completely exhausted after running such a long distance.
顎を引くto tuck in one's chin (as a posture correction)
I tuck in my chin to improve my posture.
顎に手を当てるto put a hand on one's chin (a thinking gesture)
He put his hand on his chin and thought deeply.
顎が外れるfor one's jaw to dislocate, or to laugh uncontrollably (lit. 'jaw comes off')
It was so funny I laughed my jaw off.
Expressions
顎をしゃくるjerk one's chin; point with one's chin; nod toward 顎がしゃくれるhave a protruding chin; have a turned-up chin 顎のしゃくれたwith a turned-up chin; having a protruding chin