The phrase "set one's cap for" typically means to pursue or try to win the affections of someone. However, there are several antonyms to this phrase that can convey a different sentiment altogether. For instance, antonyms of "set one's cap for" can include ignore, neglect, disregard, overlook, or dismiss someone. These antonyms mean that one is not interested in pursuing a romantic relationship with someone, and would rather not give them any attention. Additionally, antonyms can also imply that one is content being single, or simply not interested in pursuing any relationship at all. Ultimately, the antonyms of "set one's cap for" convey quite different intentions and feelings from the original phrase.