In the US, almost universally, they take the card away. Swipe it somewhere in the back -- without a PIN. Then bring back a receipt for an inked signature, which is supposed to the be the alternative to a PIN.
Oh, and you put the tip in on that receipt, and they go back and do a second entry of the tip (sometimes incorrectly, almost always higher when incorrect.)
Worse - the transaction alert -- if you get one -- is the pre-tip amount. Makes no sense.