Drink can make me ill, a danger when mixed (5,3,4)

I believe the answer is:

lager and lime

'drink' is the definition.

'me ill a danger when mixed' is the wordplay.
'when mixed' indicates anagramming the letters.
'me'+'ill'+'a'+'danger'='meilladanger'
'meilladanger' anagrammed gives 'LAGER AND LIME'.

'can make' is the link.

I've seen this clue in The Times.

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