1
general::
Leave hastily, abscond, as in They just skipped out of town. It is Also put as skip out on, meaning "desert, abandon" as in He skipped out on his wife, leaving her with the four children. [Colloquial; second half of 1800s]
American Heritage Idioms
2
general::
Phrase(s): skip out (on someone or something)
Fig. to sneak away from someone or some event; to leave someone or an event suddenly or in secret. • I heard that Bill skipped out on his wife. • I’m not surprised. I thought he should have skipped out long ago.
McGrawhill's American Idioms And Phrasal Verbs