There are several synonyms for the phrase "giving someone the slip," which means to escape from someone or something, typically by being elusive or deceptive. One option is "eluding," which implies a deliberate attempt to avoid detection or capture. Another synonym is "shaking off," suggesting a more casual or spontaneous escape. "Losing" or "dodging" someone also convey a sense of evading pursuit. Finally, "ducking out" or "slipping away" can be used to describe a quick departure or escape from a situation or person. Regardless of the word used, giving someone the slip is often associated with a sense of triumph or satisfaction in outsmarting a pursuer.