Crossword Genius

Ten diced: cool to dangle carrot (6)

Ross

I believe the answer is:

entice

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'dangle carrot' is the definition.
I can't tell whether this defines the answer.

'ten diced cool' is the wordplay.
'diced' indicates anagramming the letters.
'cool' becomes 'ice' (icing is a kind of cooling).
'ten' with letters rearranged gives 'ent'.
'ent'+'ice'='ENTICE'

'to' is the link.

Can you help me to learn more?

(Other definitions for entice that I've seen before include "Attract or persuade with offer" , "how siren might operate?" , "Tempt, lure with nice offer" , "Attract, tempt" , "Attract (by pleasure)" .)

I've seen this clue in The Sun.
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