Request to cut corner tree (5)
I believe the answer is:
beech
'tree' is the definition.
(beech is a kind of tree)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for beech that I've seen before include "It has branches" , "Tree variety" , "Nut-bearing tree" , "Type of tree" , "Tree of Fagus genus" .)