Fruit supplier to relieve chaos (5,4)

I believe the answer is:

olive tree

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'fruit supplier' is the definition.
The definition and answer can be both plants as well as being singular nouns.
Maybe they are linked in a way I don't understand?

'to relieve chaos' is the wordplay.
'chaos' is an anagram indicator.
'to'+'relieve'='torelieve'
'torelieve' is an anagram of 'OLIVE TREE'.

Can you help me to learn more?

(Other definitions for olive tree that I've seen before include "oil supplier" , "bearer of fruit" .)

I've seen this clue in The Daily Express.

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