The phrase 'catch eye' refers to drawing someone's attention or interest towards something. Antonyms of this phrase could include words such as 'ignore', 'overlook', 'neglect', 'disregard', or 'miss'. These words indicate a lack of attention or importance given to the subject, and a lack of interest from the individual involved. While catching someone's eye can be a positive thing in terms of advertising or promotion, it can also be unwanted or intrusive. By learning and using antonyms for catch eye, one can communicate more effectively by indicating that the subject is not important, or by acknowledging the lack of interest in the topic at hand.