Hardly a finishing school! (4)
I believe the answer is:
prep
'school' is the definition.
(prep school is a kind of school)
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for prep that I've seen before include "Homework (abbrev.)" , "Homework (abbr.)" , "warm-up race" , "School work done outside lessons" .)