Resent plea to Barnaby (8)
I believe the answer is:
begrudge
'resent' is the definition.
(synonyms)
'plea to barnaby' is the wordplay.
'plea' becomes 'beg' (both can mean a request).
'to barnaby' becomes 'rudge' (Barnaby Rudge is a Dickens novel).
'beg'+'rudge'='BEGRUDGE'
(Other definitions for begrudge that I've seen before include "Envy another's possessions or good fortune" , "Envy, have feeling of resentment" , "Envy (someone) the possession of" , "Show envy" , "Envy, resent other's good fortune" .)