Son to possess smooth face? (5)

I believe the answer is:

shave

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'smooth face?' is the definition.
'shave' can be an answer for 'smooth' (thesaurus). I'm not certain of the 'face?' bit.

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for shave that I've seen before include "Daily activity perhaps" , "Barber" , "cut" , "Remove facial hair" , "Knock off" .)

I've seen this clue in The Sun.

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