Enthusiasm prize student’s full of (4)

I believe the answer is:

zest

'enthusiasm' is the definition.
(zest is a kind of enthusiasm)

'prize student's full of' is the wordplay.
'full of' indicates the answer is hidden within the clue (inside).
'ZEST' is hidden within 'prize students'.

(Other definitions for zest that I've seen before include "Drive" , "extract of lemon?" , "Enthusiasm - grated lemon peel" , "Keen excitement - citrus peel" , "Great energy; citrus peel" .)

I've seen this clue in The Times.

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