Engaged? Let's dine out (8)
I believe the answer is:
enlisted
'engaged?' is the definition.
('enlist' can be a synonym of 'engage')
'let's dine out' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'lets'+'dine'='letsdine'
'letsdine' anagrammed gives 'ENLISTED'.
(Other definitions for enlisted that I've seen before include "Signed up" , "Joined up (milit.)" , "Lower ranks in US army" , "Recruited" , "Listened (anag.)" .)