Diseased tree to get rid of — most of the tree (9)

I believe the answer is:

terebinth

'tree' is the definition.
(terebinth is a kind of tree)

'diseased tree to get rid of most of the' is the wordplay.
'diseased' is an anagram indicator (I've seen this in other clues).
'to get rid of' becomes 'bin' (bin can mean to dump or throw away).
'most of' means to remove the last letter.
'the' with its last letter taken off is 'th'.
'tree' is an anagram of 'tere'.
'tere'+'bin'+'th'='TEREBINTH'

(Another definition for terebinth that I've seen is " natural growth".)

I've seen this clue in The Times.

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