Feline right inside wagon (4)
I believe the answer is:
cart
'wagon' is the definition.
(I know that cart is a type of wagon)
'feline right inside' is the wordplay.
'feline' becomes 'cat' (cat is a kind of feline).
'right' becomes 'r' (common abbreviation).
'inside' indicates putting letters inside.
'cat' placed around 'r' is 'CART'.
(Other definitions for cart that I've seen before include "Primitive transport" , "Old two-wheeled goods vehicle" , "Heavy open wagon" , "Something not to be put in front of the horse" , "Hump" .)