Evergreen trees given faulty clue? A pity (9)

I believe the answer is:

eucalypti

I'm a little stuck... Click here to teach me more about this clue!

'evergreen trees' is the definition.
'eucalypti' can be an answer for 'trees' (eucalyptus is a kind of tree). I'm not certain of the 'evergreen' bit.

'faulty clue? a pity' is the wordplay.
'faulty' is an anagram indicator.
'clue'+'a'+'pity'='clueapity'
'clueapity' is an anagram of 'EUCALYPTI'.

'given' is the link.

Can you help me to learn more?

(Other definitions for eucalypti that I've seen before include "Gum trees" , "Australian trees" , "Antipodean natives" , "Oil producers" , "shrubs" .)

I've seen this clue in The Times.

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