Art style assessed and honoured (9)
I believe the answer is:
decorated
'honoured' is the definition.
(decorated can mean given awards or honours)
'art style assessed' is the wordplay.
'art style' becomes 'deco' (I've seen this in another clue).
'assessed' becomes 'rated' (rating is a kind of assessing).
'deco'+'rated'='DECORATED'
'and' is the link.
(Other definitions for decorated that I've seen before include "Adorned, bedecked" , "Awarded medal(s)" , "Ornate" , "Painted" , "Embellished" .)