Singer in pub, one covering city centre (8)
I believe the answer is:
baritone
'singer' is the definition.
(I know that baritone is a type of singer)
'pub one covering city centre' is the wordplay.
'pub' becomes 'bar' (both are drinking establishments).
'covering' is an insertion indicator.
'city centre' becomes 'it' (centre of the word 'city').
'bar'+'one'='barone'
'barone' enclosing 'it' is 'BARITONE'.
'in' acts as a link.
(Other definitions for baritone that I've seen before include "Adult male singing voice" , "Second lowest male singing voice" , "One who can sing" , "Male voice between bass and tenor" , "Male singer looks odd in boater" .)