Fixing a camera externally

Is there any simple way to fix a small self-contained "web-camera" to the
wing or tail of my glider?

I have a Tony Hawks Helmet Cam, designed really for skateboarding, and I've
worn it or affixed inside the cockpit a few times, but so far held off
affixing outside. Tape would have seemed the best bet, but a little
nervous it may damage the fibre-glass body when I pull it off, or it will
fall off!

Neil