The phrase "hangs off" can be substituted with different synonyms, depending on the intended context. For instance, "dangles" would be a suitable synonym to describe something hanging loosely without any support. Alternatively, "is suspended" could be used to explain how an object is being held up in the air. Another synonym, "clings," may describe an object holding onto something tightly, such as a monkey clinging to a tree branch. "Depend" could also be used to suggest reliance on something, like a decision that depends on a particular outcome. Overall, using different synonyms for "hangs off" adds variety and depth to one's writing or speech.