Argentine's family has type of small white onion (10)

I believe the answer is:

silverskin

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'type of small white onion' is the definition.
I know nothing about this answer so I cannot judge whether it can be defined by this definition.

'argentine's family' is the wordplay.
'argentine's' becomes 'silvers' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'family' becomes 'kin' ('kin' can be a synonym of 'family').
'silvers'+'kin'='SILVERSKIN'

'has' is the link.

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I've seen this clue in The Guardian.

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