Making egoist care about class (10)
I believe the answer is:
categorise
'class' is the definition.
(I know that categorise is a is a more specific form of the action of class)
'making egoist care' is the wordplay.
'making' is an anagram indicator.
'egoist'+'care'='egoistcare'
'egoistcare' with letters rearranged gives 'CATEGORISE'.
'about' acts as a link.
(Other definitions for categorise that I've seen before include "Sort" , "Classify" , "class" .)