Chip and Pin solves some problems but not all. If someone gets the card in their hand they can read the security code on the back and then use the card details to buy stuff from, for instance web sites. Make sure you keep hold of your card at all times. Make them bring the machine to you or go to where the reader is located and put the card in yourself.

We've had chip and pin cards for years in Europe but we still have credit card fraud.

P.S. Never yet happened to me despite spending years in the BVI and other more remote parts of the World.