See Dutton initially back example of government housing (5)
I believe the answer is:
lodge
'government housing' is the definition.
'lodge' can be an answer for 'housing' (lodge is a kind of housing). I am not certain of the 'government' bit.
'see dutton initially back example' is the wordplay.
'see' becomes 'lo' (archaic exclamation meaning 'look!').
'initially' says to take the initial letters.
'back' says the letters should be written backwards.
'example' becomes 'eg' (short for 'exempli gratia', 'for example' in Latin).
The first letter of 'dutton' is 'd'.
'eg' in reverse letter order is 'ge'.
'lo'+'d'+'ge'='LODGE'
'of' acts as a link.
Can you help me to learn more?
(Other definitions for lodge that I've seen before include "Cottage at the entrance to the grounds of a big house" , "Deposit put down" , "House at the entrance to grounds of a mansion" , "Stay (somewhere) temporarily" , "Small dwelling, part of estate" .)