Humpty Dumpty goes to school with local clever people (8)
I believe the answer is:
eggheads
'clever people' is the definition.
'eggheads' can be an answer for 'people' (egghead is a kind of person). I am not sure about the 'clever' bit.
'humpty dumpty goes to school with local' is the wordplay.
'humpty dumpty' becomes 'egg' (I've seen this in another clue).
'goes to' is a charade indicator (letters next to each other).
'school' becomes 'S'.
'with' means one lot of letters go next to another.
'local' becomes 'head' (I can't justify this - if you can you should give a lot more credence to this answer).
's' after 'head' is 'heads'.
'egg' next to 'heads' is 'EGGHEADS'.
Can you help me to learn more?
(Other definitions for eggheads that I've seen before include "TV quiz show" , "Slang intellectuals with lofty domes" , "academic talents" , "Intellectuals with oval brains?" , "Intellectuals (colloq.)" .)