Tempting one to include diamonds in rent review (7)

I believe the answer is:

enticer

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'tempting one to include' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'diamonds in rent review' is the wordplay.
'diamonds' becomes 'ice' (slang term for diamonds).
'in' is an insertion indicator.
'review' indicates an anagram.
'rent' with letters rearranged gives 'entr'.
'ice' put within 'entr' is 'ENTICER'.

Can you help me to learn more?

(Other definitions for enticer that I've seen before include "Who offers temptation" , "temptress?" .)

I've seen this clue in The Daily Express.

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