Yay or Nay?
bit of helicopter tape where you get heel rub or chain bounce - yes.
big neoprene sock - no.
Both:
PU tape (aka helitape).
Then use a thicker protector such as neoprene or innertube.
Tube/neoprene will protect properly against chain slap. PU tape will protect the carbon fibre against abrasion of dirt that will get trapped.
edit: missed the road bike bit...just PU tape is fine on a road bike normally but I would probably double it up on top as thicker will work a lot better.
do you get chainslap on a road bike?
this guy does:
No, not necessary.
Well, I spotted some grease on there, and although it could have come from anywhere in the interest of preserving carbon loveliness I've stuck a bit of helitape on.
Won't happen in the big ring - sort your gearing out 😉