The term "looks all over for" refers to the act of searching for something in a frantic or thorough manner. Antonyms for this phrase would be "ignores," "neglects," or "avoids." These words suggest a lack of effort or interest in finding something, as opposed to the active pursuit implied by "looks all over for." Other antonyms could include "forgets," "abandons," or "gives up," which imply a complete cessation of the search. In contrast, synonyms for "looks all over for" might include "hunts," "scours," or "searches high and low," all of which suggest a determined and wholehearted attempt to find something.