The antonyms for the phrase "give going-over" could vary depending on the context in which it is used. However, some possible antonyms for this phrase could be "ignore," "neglect," "overlook," or "dismiss." These words imply a lack of attention or concern for something or someone. Alternatively, antonyms for "give going-over" could include "praise," "compliment," "approve," or "endorse," indicating positive feedback or approval. Other antonyms might include "trust," "believe," "support," or "back up," suggesting a level of confidence or faith in a particular individual or situation. Ultimately, the choice of antonyms will depend on the context and intention of the speaker or writer.