Townsperson's husband tucked into fast food (7)
I believe the answer is:
'townsperson's' is the definition.
(burgher can mean a citizen of a town)
'husband tucked into fast food' is the wordplay.
'husband' becomes 'h'.
'tucked into' means one lot of letters goes inside another.
'fast food' becomes 'burger' (I've seen this in another clue).
'h' inserted within 'burger' is 'BURGHER'.
(Other definitions for burgher that I've seen before include "Man about town" , "Bourgeois" , "Mediaeval freeman, townsman" , "Freeman of the city" , "Citizen of a town or city" .)