Hired gun travelling round British capital (9)
I believe the answer is:
edinburgh
'capital' is the definition.
(Edinburgh is an example)
'hired gun travelling round british' is the wordplay.
'travelling' is an anagram indicator.
'round' means one lot of letters goes inside another.
'british' becomes 'b' (abbreviation e.g. in 'BBC').
'hired'+'gun'='hiredgun'
'hiredgun' is an anagram of 'edinurgh'.
'edinurgh' enclosing 'b' is 'EDINBURGH'.
(Other definitions for edinburgh that I've seen before include "fringe city" , "'The Athens of the North'" , "Scottish capital" , "Scottish arts festival city" , "City on the Firth of Forth" .)