Lady finding singles in pubs (8)
I believe the answer is:
baroness
'lady' is the definition.
(I know that baroness is a type of lady)
'singles in pubs' is the wordplay.
'singles' becomes 'ones' ('one' can be a synonym of 'single').
'in' means one lot of letters goes inside another.
'pubs' becomes 'bars' (a bar is a pub).
'ones' put inside 'bars' is 'BARONESS'.
'finding' acts as a link.
(Other definitions for baroness that I've seen before include "Lady Thatcher?" , "Woman life-peer" , "Noblewoman" , "Female life peer" , "Aristocrat" .)