Convincing vice-consul is complicated (10)
I believe the answer is:
conclusive
'convincing' is the definition.
(I've seen this before)
'vice-consul is complicated' is the wordplay.
'is complicated' is an anagram indicator.
'vice'+'consul'='viceconsul'
'viceconsul' anagrammed gives 'CONCLUSIVE'.
(Other definitions for conclusive that I've seen before include "Final" , "Decisive, convincing" .)