Is there a keyboard short cut, or extension, that lets you rip a tab into a new window in Google Chrome instead of using the mouse?
A workaround would be: Ctrl + L, + C, + W, + N, + V, and Enter.
F6, Ctrl + C, Ctrl + N, Ctrl + V, Enter and an optional Alt + Tab, Ctrl + W, Alt + Tab, to close the old tab.
You could automate the whole thing with AutoIt (under Windows) and create a Hotkey for it (here, it's Ctrl + Alt + x):
I always have an additional application like this running in the background, offering useful keyboard shortcuts which automate and simplify tasks.
Alternatively, you can hit Ctrl + L instead of F6, which would be substantially easier as your hand does not have to leave the home row.
There doesn't appear to be a keyboard short cut built in. Maybe auto-hot-keys can be used, but I'm not familiar with them. I'm also assuming that you already know that dragging the tab out creates the tabs own window.