Crossword Genius

Primitive human in games with two chess pieces (6,3)

Ross

I believe the answer is:

peking man

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'primitive' is the definition.
(Peking man is an example)

'games with two chess pieces' is the wordplay.
'two chess pieces' means two substitutions for 'chess piece'.
'games' becomes 'pe' (abbreviation for Physical Education).
'with' is a charade indicator (letters next to each other).
'chess piece' becomes 'king' (king is a kind of chess piece).
'chess piece' becomes 'man' (I've seen this in another clue).
'pe'+'king'+'man'='PEKING MAN'

'human in' is the link.
This may not be right. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

(Another definition for peking man that I've seen is " Early human of China".)

I've seen this clue in The Independent.
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