What’s the sense of home schooling? (9)
I believe the answer is:
intuition
'what's the 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'
'of' acts as a link.
(Other definitions for intuition that I've seen before include "Innate understanding" , "Ability to understand immediately" , "Suspicion" , "Instinct" , "An indefinable knowledge" .)