Local I love — Nag's Head — enjoys majestic setting (8)
I believe the answer is:
regional
'local' is the definition.
(in a particular region)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for regional that I've seen before include "Limited to a particular part of the country - liar gone (anag)" , "Like some food" , "outside the capital" , "Relating to local area" , "From a geographical area" .)