If systemvar.continue is defined in JavaScript, then make your JSON valid like this:
{
"items": [
{
"id": "2000",
"buttons": [{
"text": "continue", // <-- only pass the property name
}]
}
}
And then access the "continue" property of systemvar using square bracket notation.
var result = systemvar[ json.items[0].buttons[0].text ];
Of course this is hardcoded and assumes your parsed JSON is referenced in a variable called json. I assume you're traversing the structure, and will come across text:"continue" at some point. When you get there, plug it in as the property name.
// in traversal
systemvar[ val.text ];
I'd also suggest that you avoid the word continue since it's a reserved word, though it will work with a string in square brackets.