I see rising dons prone to imprecision in prestigious universities (3,6)

I believe the answer is:
ivy league
'imprecision in prestigious universities' is the definition.
'ivy league' can be an answer for 'universities' (I've seen this before). I am not sure about the 'imprecision in prestigious' bit.
'i see rising dons prone' is the wordplay.
'see' becomes 'ely' (see is a place with a cathedral - e.g. Ely).
'rising' shows that the letters should be reversed in order (in a down clue, letters go up).
'dons' indicates putting letters inside (don means to wear or put on).
'prone' becomes 'vague' (I can't explain this - if you can you should give a lot more credence to this answer).
'ely' in reverse letter order is 'yle'.
'yle' going inside 'vague' is 'vyleague'.
'i'+'vyleague'='IVY LEAGUE'
'to' is the link.
Can you help me to learn more?
(Other definitions for ivy league that I've seen before include "Brown is one of its members" , "Group of US colleges with prestigious reputations" , "Group of prominent US universities" , "Group of eight prestigious USA universities" , "Group of US elite universities" .)
