A Kent resort is captured (5)
I believe the answer is:
taken
'is captured' is the definition.
(I've seen this before)
'a kent resort' is the wordplay.
'resort' is an anagram indicator (re-sort the letters).
'a'+'kent'='akent'
'akent' with letters rearranged gives 'TAKEN'.
(Other definitions for taken that I've seen before include "Obtained" , "Seized" , "Charmed" , "This is spoken for" , "Appropriated" .)