Charm school finally ran the training (7)
I believe the answer is:
enthral
'charm' is the definition.
(enthral can mean to charm or captivate)
'school finally ran the training' is the wordplay.
'school' becomes 'l' (I am not sure about this - if you are sure you should believe this answer much more).
'finally' means one lot of letters go next to another (some letters go at the end of others).
'training' is an anagram indicator (to train can mean to grow something into a shape).
'ran'+'the'='ranthe'
'ranthe' is an anagram of 'enthra'.
'l' put after 'enthra' is 'ENTHRAL'.
(Other definitions for enthral that I've seen before include "Delight - transport" , "Fascinate - grip" , "Hold spellbound" , "be captivating?" , "rivet" .)