"Old heave ho" is a phrase typically used to mean getting rid of something or dismissing it. The antonyms for this phrase, however, would involve keeping, extending, or accepting something. Some examples of antonyms for "old heave ho" include retaining, preserving, maintaining, expanding, progressing, and embracing. Clearly, these antonyms convey the idea of holding onto something valuable and allowing it to grow or flourish. Instead of discarding or dismissing something, these antonyms suggest nurturing and supporting it. When it comes to relationships or career opportunities, deciding to keep something instead of giving it the "old heave ho" can ultimately lead to greater fulfillment and success.