Lied about having nothing to do (4)
I believe the answer is:
idle
'having nothing to do' is the definition.
(I've seen this in another clue)
'lied about' is the wordplay.
'about' is an anagram indicator.
'lied' is an anagram of 'IDLE'.
(Other definitions for idle that I've seen before include "Not in action or at work" , "Not hardworking" , "Mike" , "Reluctant to work - Pythonesque Eric" , "Inactive - lazy" .)