Suggest job with university behind schedule (9)
I believe the answer is:
postulate
'suggest' is the definition.
(thesaurus)
'job with university behind schedule' is the wordplay.
'job' becomes 'post' (post is a kind of job).
'with' means one lot of letters go next to another.
'university' becomes 'u'.
'behind schedule' becomes 'late' (I've seen this before).
'post'+'u'+'late'='POSTULATE'
(Other definitions for postulate that I've seen before include "Put forward" , "Take for granted or lay down as self-evident" , "Let sap out in order to claim something" , "Suppose" , "Assume as axiom" .)