Bishop nearly converted by cajoling talk (7)
I believe the answer is:
blarney
'cajoling talk' is the definition.
(I've seen this before)
'bishop nearly converted by' is the wordplay.
'bishop' becomes 'B' (abbreviation for bishop in chess).
'converted' is an anagram indicator.
'by' is a charade indicator (letters next to each other).
'nearly' is an anagram of 'larney'.
'b'+'larney'='BLARNEY'
(Other definitions for blarney that I've seen before include "Irish flattery" , "'Sweet talk, oul' guff (7)'" , "Soft soap" , "(Irish) talk" , "The Irish gift of the gab, and Cork Stone" .)