Embroider an accessory worn by son after little drink (9)

I believe the answer is:

dramatise

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'embroider' is the definition.
(I know that embroider can be written as dramatise)

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for dramatise that I've seen before include "Make out to be exciting or important" , "adapt for TV" , "Overstate" , "prepare for the stage" .)

I've seen this clue in The Times.

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