Antonyms for "takes out after" could include phrases such as "leaves alone," "ignores," or "avoids." Rather than pursuing or following someone or something, these alternatives involve intentional distance or disinterest. Other antonyms for "takes out after" might include "relinquishes," "surrenders," or "releases." These words suggest giving up pursuit or letting go of a goal or desire. While antonyms for "takes out after" may not have the same sense of determination or focus, they do allow for different approaches to navigating relationships and situations.