this might be obvious...
"carbon fiber" ice tools are actually a composite of carbon fiber and some plastic (typically epoxy). Was the chip just in the epoxy, or was there fiber damage? Either way, I wouldnt worry too much. If fibers are exposed, you might consider coating the chip with some epoxy to prevent water damage.
By many measures of durability, carbon composites far exceed aluminum. However, carbon fibers are brittle, so they will chip.