off the hook adjective5 •Of a telephone, having an open connection; not hung up.I think he left the phone off the hook so that nobody would call him. •Relieved of a duty, burden, responsibility, or pressure.Well, you're off the hook for next Tuesday's meeting, but you're still on the hook for this Friday's deadline.When the boss assigned the project to Tom, the rest of us were relieved to be off the hook. •Of a telephone, ringing frequently.The phone was ringing off the hook all night. •(informal) Performing extraordinarily well.That's five three-pointers in a row! Smith is off the hook! •(informal, slang) Fresh, cool, trendy, excellent, incredible.That party was off the hook!