The phrase "bat of the eye" is commonly used to describe a quick fluttering of the eyelids, often indicating surprise or interest. There are many synonyms that can be used to describe this action, such as a wink, blink, flutter, or flicker of the eye. Other terms that could be used to describe this movement include a nictitate, which refers to a rapid closing and opening of the eye, or a quick squint, which could indicate suspicion or mistrust. Regardless of the word used, the "bat of the eye" is a common and often subtle physical expression of emotions.