Too keen on profit, barristers generally admitted (4,3,7)
I believe the answer is:
into the bargain
'too' is the definition.
(thesaurus)
'keen on profit barristers generally admitted' is the wordplay.
'keen on' becomes 'into' (I've seen this before).
'profit' becomes 'gain' ('gain' can be a synonym of 'profit').
'barristers generally' becomes 'thebar' ('the bar' can refer to the legal profession).
'admitted' is an insertion indicator.
'into'+'gain'='intogain'
'intogain' placed around 'thebar' is 'INTO THE BARGAIN'.
(Other definitions for into the bargain that I've seen before include "as well" , "Also" .)