Look for chap on the right (4)
I believe the answer is:
leer
'look' is the definition.
(leer is a kind of look)
'chap on the right' is the wordplay.
'chap' becomes 'lee' ().
'on' is a charade indicator (letters next to each other) (in a down clue, letters appear on others).
'the right' becomes 'r' (common abbreviation).
'lee'+'r'='LEER'
'for' is the link.
(Other definitions for leer that I've seen before include "unpleasant look" , "Ogle, smirk" , "Stare suggestively" , "Gaze lasciviously at" , "Lewd look" .)