Look at amorously (4)
I believe the answer is:
ogle
'look at amorously' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for ogle that I've seen before include "Look at lecherously" , "Stare at lecherously" , "Make eyes at" , "Gaze at lecherously" , "Eye greedily" .)