dog one's steps . dog one's steps {v. phr.} To follow someone closely. All the time he was in Havana, Castro's police were dogging his steps. Categories: add yours time {v. phr.} Source: A Dictionary of American Idioms by A. Makkai, M.T. Boatner, J.E. Gates © 2024 To section: D Subscribe to: American IdiomsIdioms feedEnglish languageHome page and general feed Add my comment