Alcohol running part of battery in big car (10)

I believe the answer is:

limoncello

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'alcohol' is the definition.

'running part of battery in big car' is the wordplay.
'running' becomes 'on' (eg when a machine is running it is on).
'part of battery' becomes 'cell'.
'in' is an insertion indicator.
'big car' becomes 'limo' (limo is a kind of car. I am not sure about the 'big' bit.).
'on'+'cell'='oncell'
'oncell' put within 'limo' is 'LIMONCELLO'.

Can you help me to learn more?

I've seen this clue in The Guardian.

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