Fruit, halved, originally seen in French school (6)
I believe the answer is:
lychee
'fruit' is the definition.
(lychee is a kind of fruit)
'halved originally seen in french school' is the wordplay.
'originally' indicates taking the first letters.
'seen in' is an insertion indicator.
'french school' becomes 'lycee' (I've seen this before).
The first letter of 'halved' is 'h'.
'h' going into 'lycee' is 'LYCHEE'.
(Other definitions for lychee that I've seen before include "White-fleshed fruit" , "Large-stoned fruit" , "Rough-skinned fruit" , "Litchi" , "Oriental fruit" .)