Alluring person grasps the French for "autocue” (12)

I believe the answer is:

teleprompter

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'autocue' is the definition.
(Teleprompter is an example)

'alluring person grasps the french for' is the wordplay.
'alluring person' becomes 'tempter' (I can't explain this - if you can you should give a lot more credence to this answer).
'grasps' is an insertion indicator (inserted letters are held or grasped).
'the french' becomes 'le' ('the' in French).
'for' becomes 'pro' (as in being 'pro' something).
'le'+'pro'='lepro'
'tempter' placed around 'lepro' is 'TELEPROMPTER'.

Can you help me to learn more?

(Another definition for teleprompter that I've seen is " Another term for autocue".)

I've seen this clue in The Times.

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