For example, I'm not running in lead (6)
I believe the answer is:
denial
'for example i'm not' is the definition.
('I'm not' would be a denial)
'running in lead' is the wordplay.
'running' is an anagram indicator.
'in'+'lead'='inlead'
'inlead' anagrammed gives 'DENIAL'.
(Other definitions for denial that I've seen before include "Rejection of a request" , "Refusal to acknowledge" , "Declaration that something is untrue" , "Refusal to believe an unacceptable truth" , "Daniel (anag.)" .)