Gawp at other guys, looking eager initially (4)
I believe the answer is:
ogle
'gawp' is the definition.
(I've seen this before)
'other guys looking eager initially' is the wordplay.
'initially' says to take the initial letters.
The initial letters of 'other guys looking eager' is 'OGLE'.
'at' is the link.
(Other definitions for ogle that I've seen before include "Eye greedily" , "Gawp" , "Cast amorous glances" , "Stare amorously" , "Gape at" .)