Take turns late — aren’t worried (9)
I believe the answer is:
alternate
'take turns' is the definition.
('alternate' can be a synonym of 'take turns')
'late aren't worried' is the wordplay.
'worried' indicates an anagram.
'late'+'arent'='latearent'
'latearent' with letters rearranged gives 'ALTERNATE'.
(Other definitions for alternate that I've seen before include "Happening or following in turns, one after the other" , "Occur in turn repeatedly" , "deputy" , "Change repeatedly between two" , "go back and forth" .)