One's eaten, holding lot in Chinese restaurant? (7,6)

I believe the answer is:

fortune cookie

I'm a little stuck... Click here to teach me more about this clue!

'one's eaten' is the definition.
I can't judge whether this defines the answer.

'lot in chinese restaurant?' is the wordplay.
'lot' becomes 'fortune' (synonyms).
'in chinese restaurant?' becomes 'cookie' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'fortune'+'cookie'='FORTUNE COOKIE'

'holding' is the link.

Can you help me to learn more?

(Other definitions for fortune cookie that I've seen before include "Chinese biscuit (containing a slip of paper)" , "Small biscuit containing a prediction" , "Predictive biscuit of Chinese restaurants" , "Biscuit containing a message" , "Chinese restaurant speciality" .)

I've seen this clue in The Telegraph.

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