British (English) new chap (3)
I believe the answer is:
ben
'chap' is the definition.
(man's name)
'british english new' is the wordplay.
'british' becomes 'b' (abbreviation e.g. in BBC).
'english' becomes 'E' (abbreviation).
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'b'+'e'+'n'='BEN'
(Other definitions for ben that I've seen before include "Scottish 11" , "A Scottish mountain like Nevis" , "Battle" , "He's big in London" , "Mountain peak (Scot.)" .)