Exotic name taken by singular plant (7)
I believe the answer is:
anemone
'plant' is the definition.
The answer is an example.
'exotic name taken by singular' is the wordplay.
'exotic' indicates an anagram.
'taken by' is a charade indicator (letters next to each other).
'singular' becomes 'one' ('one' can be a synonym of 'singular').
'name' anagrammed gives 'anem'.
'anem'+'one'='ANEMONE'
(Other definitions for anemone that I've seen before include "Brightly coloured flower or tube-shaped sea creature" , "Buttercup-like flower or sea animal" , "Plant; sea creature" , "Plant with brightly coloured flowers - found also in sea" , "Name one strange flower" .)