The term "over saw" is not a commonly recognized word in English language, as it is grammatically incorrect. However, if we consider the closest antonyms to the two words "over" and "saw", we can derive some relevant concepts. First, the antonym of "over" could be "under," implying a sense of lower or lesser authority or responsibility. Secondly, the antonym of "saw" could be "ignored," which means to disregard or not pay attention to. Therefore, we could say that the antonyms for "over saw" might be something like "under ignored," meaning that the person in charge did not pay attention to the situation or failed to exercise control over it.