Woody plant that makes brush (5)
I believe the answer is:
shrub
'woody plant' is the definition.
(I know that shrub is a type of woody plant)
'makes brush' is the wordplay.
'makes' indicates an anagram.
'brush' with letters rearranged gives 'SHRUB'.
'that' is the link.
(Other definitions for shrub that I've seen before include "Woody plant smaller than a tree" , "Small woody tree" , "Myrtle or Rosemary, say" , "Rose, perhaps" , "Perhaps Heather" .)