Home schooling makes sense (9)
I believe the answer is:
intuition
'sense' is the definition.
(intuition can mean a sense or instinct)
'home schooling' is the wordplay.
'home' becomes 'in' ('he's home' can mean 'he's in').
'schooling' becomes 'tuition' (both can mean teaching).
'in'+'tuition'='INTUITION'
'makes' acts as a link.
(Other definitions for intuition that I've seen before include "Gut feeling" , "Perception" , "Instinctive knowledge" , "Innate understanding" , "Unconscious understanding" .)