Negligent concerning failure (6)
I believe the answer is:
remiss
'negligent' is the definition.
('remiss' can be similar in meaning to 'negligent')
'concerning failure' is the wordplay.
'concerning' becomes 're'.
'failure' becomes 'miss' (miss is a kind of failure).
're'+'miss'='REMISS'
(Other definitions for remiss that I've seen before include "Lacking attention to duty" , "Lacking care to duty" , "Careless and inattentive" , "Negligent, lax" , "At fault" .)