The phrase "gives a going over" typically means to thoroughly examine, scrutinize or inspect something or someone. Its antonyms would, therefore, revolve around the idea of neglecting or overlooking something. Some possible antonyms include ignoring, neglecting, disregarding, bypassing, or dismissing. Conversely, synonyms for "gives a going over" might include analyzing, evaluating, probing, inspecting, or auditing. The choice of antonyms or synonyms would depend on the context in which the phrase is used, as well as the intended tone or emphasis of the speaker. Regardless, as with many phrases in the English language, "gives a going over" offers a range of possibilities for interpretation and use.