Tiresome sort giving wave (4)
I believe the answer is:
bore
This clue is a double definition.
'tiresome sort' is the first definition.
(a boring person)
'wave' is the second definition.
(type of wave from the sea)
'giving' is the link.
(Other definitions for bore that I've seen before include "Drill to be tiresome" , "Hollow barrel" , "Tiresome person - tidal flood" , "River wave; drill" , "Carried - drill" .)