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Tame, cite a modest improvement (11)

Ross

I believe the answer is:

domesticate

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

'tame' is the definition.
(I know that tame can be written as domesticate)

'cite a modest improvement' is the wordplay.
'cite a modest' can be anagrammed to 'DOMESTICATE'.
But, I'm unsure how the anagram is indicated.

Can you help me to learn more?

(Another definition for domesticate that I've seen is " Tame".)

I've seen this clue in The Daily Express.
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