The idiomatic expression "to attract the eye" means to grab someone's attention or make something stand out. It can refer to a physical characteristic, such as an item of clothing that is brightly colored and catches one's gaze, or it could describe a quality in a person, like their charisma or charm which draws people towards them. In general usage, the phrase implies that something has been designed or presented in such a way to make it visually appealing and attract attention.