Crossword Genius

Nut-tree that breaks up as I chop it (9)

Ross

I believe the answer is:

pistachio

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'nut' is the definition.
(I know that pistachio is a type of edible nut)

'up as i chop it' is the wordplay.
'up' indicates anagramming the letters (letters get chucked up).
'as'+'i'+'chop'+'it'='asichopit'
'asichopit' is an anagram of 'PISTACHIO'.

'tree that breaks' acts as a link.
This may not be right. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for pistachio that I've seen before include "Greenish nut" , "Yellowish-green" , "Small sweet-tasting nut" , "light green" , "Edible nut" .)

I've seen this clue in The Times.
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