Crossword Genius

Second simpleton self-satisfied (4)

Ross

I believe the answer is:

smug

'self-satisfied' is the definition.
('smug' can be a synonym of 'self-satisfied')

'second simpleton' is the wordplay.
'second' becomes 's' (common abbreviation).
'simpleton' becomes 'mug' (I've seen this before).
's'+'mug'='SMUG'

(Other definitions for smug that I've seen before include "Smirking" , "Steal" , "Conceited and self-satisfied" , "Like a stuffed shirt" , "Irritatingly pleased with oneself" .)

I've seen this clue in The Telegraph.
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