Unusual name given to one plant (7)
I believe the answer is:
anemone
'plant' is the definition.
(anemone is a kind of plant)
'unusual name given to one' is the wordplay.
'unusual' indicates an anagram.
'given to' means one lot of letters go next to another.
'name' with letters rearranged gives 'anem'.
'anem'+'one'='ANEMONE'
(Other definitions for anemone that I've seen before include "Bright flower or sea plant" , "Sea plant or garden flower" , "bloomer" , "Plant with bright flowers" , "Woodland plant - name one (anag)" .)