Name of Russian beer that is picked up after a kiss (6)

I believe the answer is:

alexei

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'russian beer that is picked up after a kiss' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'name' is the wordplay.
I cannot quite see how this works, but
'name' could be 'alex' and 'alex' is found in the answer.
This explanation may well be incorrect...

'of' acts as a link.

Can you help me to learn more?

(Another definition for alexei that I've seen is " Russian guy".)

I've seen this clue in The Independent.

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