Antonyms for the phrase "come around or round" include "depart," "leave," "go away," "offend," and "displease." These words indicate a lack of interest or a refusal to participate in a given situation. They can be used in situations where someone is choosing not to join a group, support a cause or change their opinion. The opposite of "come around" is often used when someone refuses an invitation or a proposal, while the opposite of "come round" can be used to indicate that someone has not yet adopted a new viewpoint. These antonyms are useful when trying to describe someone who is resistant or unwilling to change their outlook or beliefs.