An escaped convict hires Pete to find his partner in a bank heist.

An older man stands on a high ledge of a downtown building: he asks someone trying to coax him not to jump "What time is it ?" On a rooftop across the street, a sniper in a TV repairman's uniform, opens his repair case, extracts a rifle with a silencer, and shoots the leaper off the ledge. The leaper was performer Lester the Human Fly, so his widow hires Peter Gunn to find out who killed her husband - and why. 

Thugs kidnap and drug Gunn to get information about stolen money from him.