Suffer part of Latin curriculum (5)
I believe the answer is:
incur
'suffer' is the definition.
(to incur is to suffer or experience)
'part of latin curriculum' is the wordplay.
'part of' indicates the answer is hidden within the clue.
'INCUR' is hidden within 'latin curriculum'.
(Other definitions for incur that I've seen before include "Bring on as a consequence" , "To become liable to, suffer" , "Risk" , "Become liable to (eg, a penalty)" , "Run up" .)