Trustworthy agent on university board (9)
I believe the answer is:
reputable
'trustworthy' is the definition.
(I've seen this before)
'agent on university board' is the wordplay.
'agent' becomes 'rep' (short for representative).
'on' means one lot of letters go next to another.
'university' becomes 'u' (abbreviation for university).
'board' becomes 'table' (both can mean food).
'rep'+'u'+'table'='REPUTABLE'
(Other definitions for reputable that I've seen before include "Respected" , "Well thought of" , "of good name" , "Honest" , "Well-regarded" .)