The phrase "giving the slip" means to elude or escape from someone or something. The antonym of this phrase would be to stay put or to remain within reach. Other antonyms could include surrendering, yielding, submitting or complying. All of these terms connote a sense of giving in or accepting defeat, whereas giving the slip implies a sense of evasion or trickery. Synonyms for "giving the slip" might include slipping away, escaping or fleeing, while more neutral words could include departing or leaving. Whatever the linguistic implications, the ability to avoid capture or detection remains a crucial skill in many aspects of life.