The phrase "went over with fine-tooth comb" implies a thorough examination of something or someone, leaving no stone unturned. Antonyms for this phrase include cursory glance, superficial inspection, and quick check. These terms depict a lack of attention to detail, a careless approach, or a simple desire to get things over with quickly. However, it's worth noting that sometimes a quick check can be a good thing, as it can save time and resources when dealing with routine tasks. Nonetheless, in important matters, we must take the time to scrutinize things properly, and not just go over them with a fine-tooth comb, but also with an open mind and an objective perspective.