Infuriate by cutting up a green (6)
I believe the answer is:
enrage
'infuriate by cutting' is the definition.
'enrage' can be an answer for 'infuriate' (I've seen this before). I am unsure of the 'by cutting' bit.
'up a green' is the wordplay.
'up' indicates an anagram.
'a'+'green'='agreen'
'agreen' with letters rearranged gives 'ENRAGE'.
Can you help me to learn more?
(Other definitions for enrage that I've seen before include "Genera (anag.)" , "Greatly annoy" , "Make wild" , "Revolutionary group in Paris" , "French revolutionary group" .)