Constant inclination for housework? (8)
I believe the answer is:
cleaning
'housework?' is the definition.
(cleaning up a house)
'constant inclination' is the wordplay.
'constant' becomes 'c' (mathematical abbreviation).
'inclination' becomes 'leaning' (leaning is a kind of inclination).
'c'+'leaning'='CLEANING'
'for' is the link.
(Other definitions for cleaning that I've seen before include "Removing dirt" , "sponging, perhaps?" , "housework?" , "Wiping" , "Sanitising" .)