For the locals, it's not good to lose The Head from the school (4)
I believe the answer is:
inns
'for the locals' is the definition.
(I've seen this before)
'head from the school' is the wordplay.
'head' becomes 'inn' (I can't justify this - if you can you should believe this answer much more).
'from' is a charade indicator (letters next to each other).
'the school' becomes 's'.
'inn'+'s'='INNS'
'it's not good to lose the' acts as a link.
This may not be correct. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for inns that I've seen before include "Public houses" , "More than one pub" , "Places of rest and sustenance for travellers" , "Bars" , "King's ..., for the legal eagles" .)