Directors strike after drinking a port (11)

I believe the answer is:

impresarios

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'directors strike after drinking a port' is the definition.
I can't judge whether this defines the answer.

'after drinking a port' is the wordplay.
'after' becomes 'impress' (I can't explain this - if you can you should give a lot more credence to this answer).
'drinking' indicates putting letters inside (inserted letters are consumed or drunk).
'port' becomes 'rio' (Rio de Janeiro is a port).
'a'+'rio'='ario'
'impress' enclosing 'ario' is 'IMPRESARIOS'.

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I've seen this clue in The Telegraph.

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