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1.
A euphemism for Heineken beer. It is used by some because of the strong and bitter taste of Heineken and also because it is imported from the Netherlands.
"Say, pour me a glass of that fine imported Dutch Piss."
by UnassumingPencil October 20, 2007
 
2.
When you have diarrhea that bad it feels like you are pissing out your arse.
"Sorry I can't come into work to day I have a bad case of the dutch piss"
by Macca Spencer July 10, 2006