An irksome job importing silver in Alaskan city (9)
I believe the answer is:
anchorage
'alaskan city' is the definition.
(Anchorage is a city in Alaska)
'an irksome job importing silver' is the wordplay.
'irksome job' becomes 'chore' (a chore is an unpleasant job).
'importing' means one lot of letters goes inside another.
'silver' becomes 'Ag' (Ag is the chemical symbol for silver).
'chore' going around 'ag' is 'chorage'.
'an'+'chorage'='ANCHORAGE'
'in' acts as a link.
(Other definitions for anchorage that I've seen before include "Place for ship to stay - Alaska city" , "Roads" , "Place where ships may stay safely - in city in Alaska?" , "large northern city" , "Roadstead" .)