Go up for graduation (5)
I believe the answer is:
scale
I believe this clue is a double definition.
'go up' is the first definition.
(scaling is a kind of going up)
'graduation' is the second definition.
(thesaurus)
'for' acts as a link.
(Other definitions for scale that I've seen before include "little plate" , "Relative magnitude" , "Doh, re, me etc" , "Need balance" , "Group of notes in ascending or descending order" .)