New game going round university under unknown figure of speech (6)
I believe the answer is:
zeugma
'figure of speech' is the definition.
(zeugma is a kind of figure of speech)
'new game going round university under unknown' is the wordplay.
'new' indicates anagramming the letters.
'going round' indicates putting letters inside.
'university' becomes 'u'.
'under' means one lot of letters go next to another.
'unknown' becomes 'z' (algebra**).
'game' is an anagram of 'egma'.
'egma' placed around 'u' is 'eugma'.
'eugma' put after 'z' is 'ZEUGMA'.
(Other definitions for zeugma that I've seen before include "Karpov and his winning chances disappeared?" , "figure of speech" .)