The phrase "not give time of day" has a negative connotation as it implies ignoring or snubbing someone. Antonyms for this phrase include "acknowledge," "greet," "welcome," and "engage." These words emphasize the importance of recognizing and interacting with others and highlight the value of communication and social skills. Substituting the negative phrase with antonyms can create a positive impact on interpersonal relationships and make people feel valued, respected, and heard. Instead of "not giving someone the time of day," we can choose to be open, friendly, and attentive towards others.