A feeling for home schooling? (9)
I believe the answer is:
intuition
'a feeling' is the definition.
(intuition is a kind of feeling)
'home schooling?' is the wordplay.
'home' becomes 'in' ('he's home' can mean 'he's in'**).
'schooling?' becomes 'tuition' (I've seen this before).
'in'+'tuition'='INTUITION'
'for' is the link.
(Other definitions for intuition that I've seen before include "an instinctive thing" , "Sixth sense" , "Ability to understand immediately" , "Perception" , "Gut feeling" .)