Advert judge viewed with hesitation (5)
I believe the answer is:
refer
'advert' is the definition.
(I know that advert can be written as refer)
'judge viewed with hesitation' is the wordplay.
'judge' becomes 'ref' (referee).
'viewed with' says to put letters next to each other.
'hesitation' becomes 'er' (sound used when hesitating).
'ref'+'er'='REFER'
(Other definitions for refer that I've seen before include "Make an allusion, or send on" , "Hand over for decision" , "Be relevant (to)" , "Bring up" , "Make allusion, direct attention with words" .)