"Weasel out of" is a colloquial phrase that is used to describe someone's attempt to avoid taking responsibility or fulfilling an obligation. It is often used when referring to a situation where someone tries to get out of doing something that they had promised, usually by using deceptive tactics or making excuses. Some synonyms for weaseling out of a situation include dodging, evading, sidestepping, shirking, and avoiding. These words all portray the same idea of bypassing responsibilities or commitments by using sneaky or deceptive methods. Therefore, if someone is trying to find another way to convey this message in their writing or speech, these words could be appropriately used.