Enthusiasm shown during quizzes there (4)
I believe the answer is:
zest
'enthusiasm' is the definition.
(zest can mean enthusiasm or eagerness)
'during quizzes there' is the wordplay.
'during' says the answer is hidden in the clue.
'ZEST' is hidden within 'quizzes there'.
'shown' acts as a link.
(Other definitions for zest that I've seen before include "Enjoyment, excitement" , "Spiciness" , "Orange or lemon peel" , "Enthusiasm - grated lemon peel" , "Great energy; citrus peel" .)