Lady getting up after six in city (6)
I believe the answer is:
vienna
'city' is the definition.
(I know that Vienna is a city)
'lady getting up after six' is the wordplay.
'lady' becomes 'anne' (I've seen this before).
'getting up' says the letters should be written backwards.
'after' says to put letters next to each other.
'six' becomes 'VI' (Roman numerals).
'anne' written backwards gives 'enna'.
'enna' after 'vi' is 'VIENNA'.
'in' is the link.
(Other definitions for vienna that I've seen before include "sort of sausage" , "Austria's capital city" , "Capital city on the Danube" , "On the Danube, it was home to many great composers" , "Adult home of Beethoven, Brahms, Mozart and Schubert" .)