Allowed a bit of double-talk (3)
I believe the answer is:
let
'allowed' is the definition.
(to let is to allow or permit)
'a bit of double-talk' is the wordplay.
'a bit of' indicates a hidden word.
'LET' is hidden in the letters of 'double talk'.
(Other definitions for let that I've seen before include "Reason for scrubbing service" , "Allow; rental period" , "& 15 Triple (anag.)" , "Allow, don't hinder" , "Allow the obstruction" .)