"Belly up to" is a phrase that means to approach or come closer to something, usually a table or bar, in order to eat or drink. Antonyms for "belly up to" include move away, retreat, withdraw, disengage, and distance oneself. These words suggest a sense of avoidance or separation, as opposed to the act of approaching or engaging with something. Other antonyms may include stand off, back away, pull back, and step back. These words describe physical movements away from a particular object or situation, which can convey a sense of reluctance or hesitation to engage with what is being offered.