The phrase "get an eyeful of" typically means to see something fully and completely, usually referring to something visually striking or interesting. Antonyms for this phrase might include "overlook," "ignore," "skim over," or "miss," indicating a lack of attention or interest in the object or scene in question. Similarly, "tune out," "look away," or "avert one's gaze" could also be considered antonyms, suggesting a deliberate avoidance of the visual stimulus. Ultimately, the opposite of "get an eyeful of" would involve not engaging with or appreciating the visual experience at hand.