Give somebody the slip
Definition 1 of 1
Pro Tip 1/3Sneaky Escape
Used when someone avoids being caught or followed in a clever or sneaky way. 
Despite being heavily guarded, the spy managed to give his pursuers the slip.
Pro Tip 2/3Quick Departure
Implies a fast and sudden departure without notice, often to avoid interaction. 
Lisa wasn't enjoying the party, so she gave everyone the slip and went home.
Pro Tip 3/3Chase Scene
Commonly used in stories or movies where a chase occurs, emphasizing the moment of escape. 
The hero gave the villains the slip by jumping onto a moving train.