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1.
Like Switzerland, Switz means to be of neutral mindset in a situation involving sides, so as not to get in trouble.

It does NOT mean that you are from Switzerland.
Rob: "That girl is such a bitch!"

Steven: "Hey, she is my girlfriend!"

Rob: "Doesn't stop her from being a bitch."

Steven: "Screw you. What do you think, Nick?"

Nick: "Guys, I'm Switz. Go ask somebody else."
by Element Spirits September 28, 2010
 
2.
When your armpits sweat way too much, causing a puddle to form on your shirt. In white shirts, this may cause the shirt to turn yellow under the armpit.
When I lifted my arms up I got laughed at because of my switz.
by Troy McGrath June 17, 2003