The phrase "heave-ho" typically connotes dismissal or rejection, but there are several antonyms that can represent the opposite sentiment. Phrases like "come aboard" or "welcome aboard" could be used to signify acceptance or inclusion. "Embrace" or "embrace wholeheartedly" could indicate a strong positive sentiment towards someone or something. Similarly, "embrace with open arms" or "take in" could represent a warm welcome. Other antonyms for "heave-ho" could include "accept," "endorse," "approve," "back," "welcome," "embrace," "adopt," or "support." Ultimately, the antonym for "heave-ho" depends on the context in which it's being used.