Clear out housing area with representative cleaning product (7)
I believe the answer is:
shampoo
'cleaning product' is the definition.
(I've seen this before)
'clear out housing area with representative' is the wordplay.
'clear out' becomes 'shoo' (to shoo is to clear out or send away).
'housing' means one lot of letters goes inside another.
'area' becomes 'a' (maths abbreviation).
'with' means one lot of letters go next to another.
'representative' becomes 'mp' (Member of Parliament).
'a'+'mp'='amp'
'shoo' going around 'amp' is 'SHAMPOO'.
(Other definitions for shampoo that I've seen before include "Oh, so Pam uses it on her hair?" , "Liquid that goes to your head?" , "treat shock?" , "Would Mao shop for this cleaner?" , "hair treatment" .)