"Hath a look" is an archaic way of saying "has a glance" or "takes a peek." Its antonyms can be numerous depending on the context in which it is used. Some of the antonyms for "hath a look" could be "ignores," "avoids," or "overlooks," implying a deliberate effort not to see something. Alternatively, "stares," "gazes," or "scrutinizes" could be antonyms representing an intense, prolonged, or careful examination of something. Other antonyms could include "averts," "diverts," or "distracts," indicating a shift in attention from one thing to another. Ultimately, the antonyms for "hath a look" will vary depending on the intended meaning and the context in which it is used.