Pester with an Asian drink, Japanese port (8)
I believe the answer is:
nagasaki
'japanese port' is the definition.
(I've seen this in another clue)
'pester with an asian drink' is the wordplay.
'pester' becomes 'nag' (I've seen this in another clue).
'with' is a charade indicator (letters next to each other).
'an' becomes 'a'.
'asian drink' becomes 'saki' (saki is a kind of drink. I am not sure about the 'asian' bit.).
'nag'+'a'+'saki'='NAGASAKI'
Can you help me to learn more?
(Other definitions for nagasaki that I've seen before include "Japanese port, setting for Madame Butterfly" , "Second city to receive an atomic bomb" , "Japanese city suffering atomic bomb in WW2" , "Second city to suffer an atomic bomb" , "Japanese city suffering atomic attack in WW2" .)