Greet men excited to be coming out (8)
I believe the answer is:
emergent
'be coming out' is the definition.
(emergent can mean emerging or coming out)
'greet men excited' is the wordplay.
'excited' indicates an anagram.
'greet'+'men'='greetmen'
'greetmen' is an anagram of 'EMERGENT'.
'to' acts as a link.
(Other definitions for emergent that I've seen before include "Suddenly appearing" , "Breaking" , "coming into view" , "Greet men (anag) - developing" , "achieving prominence" .)