1 general:: Phrase(s): give someone the slip Sl. to escape from a pursuer. • We were on his tail until he gave us the slip. • I can give her the slip in no time at all.
McGrawhill's American Idioms And Phrasal Verbs
2 general:: Escape or evade someone. For example, He saw the rival gang approaching but managed to give them the slip. [Mid-1500s]
American Heritage Idioms