Island nation in which peak always starts to delight everyone (4,5)
I believe the answer is:
cape verde
'island nation' is the definition.
(country made up of several islands)
'peak always starts to delight everyone' is the wordplay.
'peak' becomes 'cap' (I can't justify this - if you can you should believe this answer much more).
'always' becomes 'ever' (synonyms).
'starts to' suggests taking the first letters.
The initial letters of 'delight everyone' is 'de'.
'cap'+'ever'+'de'='CAPE VERDE'
'in which' acts as a link.
Can you help me to learn more?
(Other definitions for cape verde that I've seen before include "island republic" , "African headland and offshore islands of the same name" , "westernmost Africa" .)