Eton's head expected to cover up whip in school (7)
I believe the answer is:
educate
'school' is the definition.
(I know that school can be written as educate)
'eton's head expected to cover up whip' is the wordplay.
'head' says to take the initial letters.
'expected' becomes 'due' (similar in meaning).
'to cover up' indicates putting letters inside.
'whip' becomes 'cat' (cat o' nine tails, cat for short is a type of whip).
The initial letter of 'eton' is 'e'.
'due' placed around 'cat' is 'ducate'.
'e'+'ducate'='EDUCATE'
'in' acts as a link.
(Other definitions for educate that I've seen before include "Impart knowledge" , "Train, teach" , "Train, instruct" , "Enlighten" , "teaching style" .)