Badger a boy about starting school (6)
I believe the answer is:
pester
'badger' is the definition.
(both can mean to harass)
'a boy about starting school' is the wordplay.
I cannot really see how this works, but
'school' could be 's' and 's' is present in the answer.
'boy' could be 'peter' and 'peter' is present in the leftover letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for pester that I've seen before include "Annoy with frequent requests" , "Nag, badger" , "Channel island" , "Trouble, annoy" , "Harass" .)