Peoples' careers (5)
I believe the answer is:
races
This clue is a double definition.
'peoples'' is the first definition.
(I've seen this in another clue)
'careers' is the second definition.
(career can mean to race around out of control)
(Other definitions for races that I've seen before include "Running competitions" , "Speed contests for horses, cars etc" , "Scare in sporting contests" , "Competitions; ethnic groups" , "Events at Epsom or Ascot?" .)