with WRC paddles I use epoxy glue (microfibre/epoxy mix tinted to match wood color).
The "helicopter tape" is generally a clear tough tape that has some stretch in it and adheres quite well to smooth surfaces but I don't know if it will stick to wood, especially if oiled.
3M (and others) make the tape; often used in the automotive industry as protectant against paint chipping from stones
Recreational Kayak Paddle
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