The phrase "being off with you" can have a wide range of synonyms, depending on the context in which it's used. Some possible options include "being distant," "giving the cold shoulder," "having a frosty demeanor," "being stand-offish," "keeping one's distance," "remaining aloof," "being unapproachable," "exhibiting a lack of warmth," and "maintaining a barrier." Each of these expressions conveys a sense of emotional distance or coolness, and may be used to describe someone who is intentionally or unintentionally creating a barrier between themselves and others. Ultimately, the choice of synonym will depend on the nuances of the specific situation.