No egoism worries about student's new term (9)
I believe the answer is:
neologism
'new term' is the definition.
(I've seen this before)
'no egoism worries about student's' is the wordplay.
'worries' indicates an anagram.
'about' means one lot of letters goes inside another.
'student' becomes 'l' (as in L-plates for learner drivers).
'no'+'egoism'='noegoism'
'noegoism' is an anagram of 'neoogism'.
'neoogism' going around 'l' is 'NEOLOGISM'.
(Other definitions for neologism that I've seen before include "Brexit maybe" , "new term" , "Newly coined word" , "New word or phrase" , "coinage" .)