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Turn over, hard to kiss someone with a frozen smile (6)

Ross

I believe the answer is:

sphinx

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'someone with a frozen smile' is the definition.
I can't judge whether this definition defines the answer.

'turn over hard to kiss' is the wordplay.
'turn' becomes 'spin' (spin is a kind of turn).
'over' indicates putting letters inside.
'hard' becomes 'h' (abbreviation used in pencil classifications).
'to kiss' becomes 'x'.
'spin' enclosing 'h' is 'sphin'.
'sphin'+'x'='SPHINX'

Can you help me to learn more?

(Other definitions for sphinx that I've seen before include "Legendary puzzle setter" , "Enigmatic person; Egyptian statue" , "Oedipus solved her riddle" , "Stone figure by the pyramids at Giza" , "Egyptian stone statue - inscrutable person" .)

I've seen this clue in The Hindu.
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