Monster from Mediterranean country (6)
I believe the answer is:
medusa
'monster' is the definition.
(Medusa is an example)
'mediterranean country' is the wordplay.
'mediterranean' becomes 'med' (I've seen this in other clues).
'country' becomes 'usa' (U.S.A. is an example).
'med'+'usa'='MEDUSA'
'from' is the link.
(Other definitions for medusa that I've seen before include "Gorgon with snakes for hair" , "Gorgon killed by Perseus - jellyfish" , "all her visitors got stoned" , "Hideous female" , "Petrifying woman" .)