Irish city's sailors providing bottle opener (9)
I believe the answer is:
corkscrew
'bottle opener' is the definition.
(corkscrew is a kind of bottle opener)
'irish city's sailors' is the wordplay.
'irish city's' becomes 'Cork's'.
'sailors' becomes 'crew' (as in a ship's crew).
'corks'+'crew'='CORKSCREW'
'providing' is the link.
(Other definitions for corkscrew that I've seen before include "handy opener" , "Move in a spiral manner" , "Twist" , "Graves opened by this" , "Device used to get at red" .)