Last time in Scandinavia my cards were signature. It wasn't a problem most places. The sales clerk would simply print out a slip and have me sign it. I think once or twice I needed to go to an ATM and come back with cash (smaller towns only).
I played with a true chip and PIN card (from Andrews Federal Credit Union) for a while but didn't really like them as a financial institution so closed the account after a couple of years.
Now I'm getting ready to return and have touchless credit cards that are simply "tapped", here in the U.S., rather than inserting the chip or swiping the magnetic tape. Does anyone know if they work the same in Scandinavia? My cards have a PIN associated with them but that really isn't the same as a true chip and PIN card.