Giving cover typically means providing protection or concealing someone or something. Antonyms for giving cover could be exposing, revealing, or uncovering. By revealing something, it becomes visible or known, while uncovering means to remove the covering or protection. In some cases, exposing someone or something may leave them vulnerable and unprotected, which is the opposite of giving cover. Therefore, it's essential to understand the context in which the phrase is used to identify the appropriate antonym. However, in general, antonyms for giving cover include exposing, revealing, and uncovering.