Why would my local takeaway want my card security code?

I’m going to give my local Chinese takeaway the benefit of the doubt by not naming them, but the events this evening were a bit strange. When I telephoned to order a delivery, I was asked for the three-digit security code on my card when I tried to pay. I don’t know about you, but I don’t let that info go over the phone. The voice at the other end of the phone insisted that she needed it, even when I insisted that I’d never been asked for it before. That’s OK, I was told, you can pay with cash....