Here’s an idea for training hawk to win (1,4,4)

I believe the answer is:

i know what

'here's an idea' is the definition.
(both might be said before introducing a suggestion)

'training hawk to win' is the wordplay.
'training' indicates an anagram (to train can mean to grow something into a shape).
'hawk'+'to'+'win'='hawktowin'
'hawktowin' with letters rearranged gives 'I KNOW WHAT'.

'for' acts as a link.

(Another definition for i know what that I've seen is " How about this".)

I've seen this clue in The Times.

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