Rainbow Quiz. The Learning Curve

[Cornishmo]

Am I being thick only I haven't seen anyone ask for clues for the following.
58 Department of learning with a particular aptitude 7

71 .....whereas this cheeky chappie has just arrived 8
79. Rations are distributed around the eve of a holy day for those who keep watch 12
88. Highest quality teacher of a bright spark - literally. 4, 4, 6

Just looking for hints thanks.

[elliemay1]

58 Double meaning:word which means 'dept of learning' and 'a particular aptitude'

[barmy]

58 faculty

[elliemay1]

71 word which means a first yr student at uni

[elliemay1]

88 famous novel written by Muriel Spark

[naomi24]

79, Another word for overseer.

[JJ109]

79 In charge at examinations. Anagram of one word + surrounding what the princes did for the queen mother when she died

[elliemay1]

79 anag of 'rations' + a word for 'eve of a holy day'. Think of person who supervises exams

[Cornishmo]

Thank you all so much. I've solved them all. As I thought, I was being a bit thick!

[haeremai]

No.8. Cap the bomb initially-before old army rifle detonates (11)