Deep caver in trouble in the country (4,5)
I believe the answer is:
cape verde
'country' is the definition.
(Cape Verde is an example)
'deep caver in trouble' is the wordplay.
'in trouble' indicates an anagram.
'deep'+'caver'='deepcaver'
'deepcaver' with letters rearranged gives 'CAPE VERDE'.
'in the' acts as a link.
(Other definitions for cape verde that I've seen before include "island republic" , "African headland and offshore islands of the same name" , "westernmost Africa" .)