Girl, Chinese? Commonly, no (6)

I believe the answer is:

hannah

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'girl' is the definition.

'chinese? commonly no' is the wordplay.
'chinese?' becomes 'han' (Chinese dynasty).
'commonly no' becomes 'nah' (I am not sure about this - if you are sure you should believe this answer much more).
'han'+'nah'='HANNAH'

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(Other definitions for hannah that I've seen before include "Girl" , "Samuel's mother" , "- And her Sisters, film (Woody Allen)" , "Woman's name" .)

I've seen this clue in The Times.

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