The phrase "homing eye size" refers to the ability of some animals to return to a specific location based on visual cues. Some synonyms for this term could include "visual navigation," "sight-based homing," or "visual memory navigation." Other related terms might include "wayfinding," which refers to the ability to orient oneself in an environment, and "spatial memory," which describes an animal's ability to recall the layout of a specific location. These terms are often used in the study of animal behavior and can help researchers understand how different species navigate and interact with their environments.