Husband moved son out to a city (7)
I believe the answer is:
houston
'to a city' is the definition.
(Houston is an example)
'husband moved son out' is the wordplay.
'husband' becomes 'h' (abbreviation).
'moved' indicates anagramming the letters.
'son'+'out'='sonout'
'sonout' is an anagram of 'ouston'.
'h'+'ouston'='HOUSTON'
(Other definitions for houston that I've seen before include "Texas oil port" , "Tell them we have a problem" , "No shout out for Texan city" , "Texan port" , "Texan city is no south" .)