Dane drunk on port (4)
I believe the answer is:
aden
'port' is the definition.
(port in Yemen)
'dane drunk' is the wordplay.
'drunk' is an anagram indicator.
'dane' anagrammed gives 'ADEN'.
'on' acts as a link.
(Other definitions for aden that I've seen before include "Yemeni port" , "Port city of Yemen" , "Yemeni gulf" , "Dane in seaport of Yemen" , "Dean out in the seaport city" .)