Pass the French entrance around one of the schools (10)
I believe the answer is:
collegiate
'pass the french entrance around one of the schools' is the definition.
I can't tell whether this defines the answer.
'pass the french entrance around one of the schools' is the wordplay.
'pass' becomes 'col' (col is a term for a mountain pass).
'the french' becomes 'le' ('the' in French).
'entrance' becomes 'gate' (type of entrance).
'around' is an insertion indicator.
'one of the schools' becomes 'i' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'gate' going around 'i' is 'giate'.
'col'+'le'+'giate'='COLLEGIATE'
Can you help me to learn more?
(Other definitions for collegiate that I've seen before include "in institution" , "Relating to a particular group of students" , "Constituted like Oxford or Cambridge universities" , "educational establishment" .)