itch for, have an
Also, itch to. Have a persistent restless craving for, as in Dean has an itch for excitement, or Chris is itching to go around the world. [Late 1500s]
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.