Reportedly look for a jetty (4)
I believe the answer is:
pier
'a jetty' is the definition.
(I've seen this before)
'reportedly look' is the wordplay.
'reportedly' indicates a 'sounds like' (homophone) clue.
'look' becomes 'peer' (peering is a kind of looking).
'peer' sounds like 'PIER'.
'for' is the link.
(Other definitions for pier that I've seen before include "Promenade over water" , "such as you might see at the seaside" , "Quay" , "Structure extending seawards" , "Support member" .)