Look for shelter on the right (4)
I believe the answer is:
leer
'look' is the definition.
(leering is a kind of looking)
'shelter on the right' is the wordplay.
'shelter' becomes 'lee' (as in lee side, the side sheltered from wind).
'on' says to put 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 "Give lascivious look" , "unpleasant look" , "Suggestive or sneering look" , "Lecherous look" , "Give sly look" .)