Antonyms for the phrase "gave a lift" include "lowered," "dropped," "demoted," and "reduced." These words indicate a downward movement or a decrease in elevation or status. Other antonyms could be "pushed down," "let down," "took down," or "brought down." These antonyms signify a deliberate action or force applied to cause something or someone to move downwards. It is important to note that choosing the right antonym depends on the context of the sentence or situation. And while "gave a lift" usually connotes a positive gesture, the antonyms show the opposite effect.