Serene local man embraced (4)
I believe the answer is:
calm
'serene' is the definition.
(synonyms)
'local man embraced' is the wordplay.
'embraced' indicates a hidden word.
'CALM' is hidden within 'local man'.
(Other definitions for calm that I've seen before include "Cool, not excited" , "Self-possessed" , "Peace, tranquillity" , "stained-glass window maker could need this" , "Unruffled, not excited" .)