The phrase "gave a going over" can mean to inspect, examine, or scrutinize something or someone closely. Some possible antonyms for this phrase include words like ignore, neglect, overlook, or disregard. These words imply a lack of attention or interest, and suggest a lack of care taken in reviewing or evaluating something. Other antonyms might include words like praise, commend, or admire, which indicate a positive judgment rather than a critical one. Ultimately, the choice of antonym will depend on the context and intended meaning of the phrase "gave a going over.