"Give the heave-ho" is an idiomatic expression that means to dismiss or fire someone, to reject or eject something or someone, or to get rid of something. The antonyms of this phrase include to retain or keep someone, to welcome or accept something or someone, and to honor or celebrate someone's presence. Other antonyms for "give the heave-ho" include to promote, award, or recognize someone, to rehire or restore someone's position, and to embrace or appreciate someone's contributions. In short, "give the heave-ho" means to discard or drop, opposite to the act of retaining or acknowledging something valuable.