Discovering inclination is about right (8)
I believe the answer is:
learning
'discovering' is the definition.
('learn' can be a synonym of 'discover')
'inclination is about right' is the wordplay.
'inclination' becomes 'leaning' (incline can mean to lean).
'is about' indicates putting letters inside.
'right' becomes 'r' (common abbreviation).
'leaning' enclosing 'r' is 'LEARNING'.
(Other definitions for learning that I've seen before include "Researching - scholarship" , "Acquired knowledge" , "Large inn (anag)" , "Aquiring skill or knowledge" , "Discovering, finding out" .)