Crude hire covers University of Little Enlightenment (10)

I believe the answer is:

rudimental

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'crude' is the definition.
(thesaurus)

'hire covers university of little enlightenment' is the wordplay.
'hire' becomes 'rental' (I've seen this before).
'covers' means one lot of letters goes inside another.
'university of little enlightenment' becomes 'udim' (I can't justify this - if you can you should give a lot more credence to this answer).
'rental' placed around 'udim' is 'RUDIMENTAL'.

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I've seen this clue in The Telegraph.

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