Fig. [for someone] to become difficult to find; [for someone to] go into hiding. Tom is mad and is looking for you. Better make yourself scarce.Make yourself scarce! Here comes the sheriff.
Depart quickly, go away, as in The children saw Mrs. Frost coming and made themselves scarce. This idiom applies scarce in the sense of "seldom seen" to removing one's presence. [c. 1800]