Flat connectors and flexible cables for a glove-mounted LED strip?
You could go for some kind of FFC. Check for instance Molex Premo-Flex, they are available at Digikey

http://www.molex.com/molex/products/family?key=premoflex&amp;channel=products&amp;chanName=family&amp;pageTitle=Introduction

The problem is you will have to match the pitch on your PCB with the cable somehow. Also I'm not sure this will work with a simple clamp. You would probably need to construct something which creates some kind of tension force.