Rosie damaged tree (5)
I believe the answer is:
osier
'tree' is the definition.
(osier is a kind of tree)
'rosie damaged' is the wordplay.
'damaged' is an anagram indicator.
'rosie' with letters rearranged gives 'OSIER'.
(Other definitions for osier that I've seen before include "Basket-maker's willow" , "Basket-making material" , "Basket producer" , "Willow for basket-making" , "one used to get weaving?" .)