I have never used carbon fiber. I understand it is much stronger than fiberglass cloth, harder to cut, and it costs considerably more. I wonder if it would reduce the need for "thick" plywood" Maybe to build a light weight teardrop you could use thin plywood, like 1/8", for the walls and roof. For a 5 x 10 that might save about 66 pounds to use 1/8" plywood instead of 1/4" plywood for the walls, roof and hatch.
If the floor is thinner plywood too that would save about 20 pounds for each 1/8" reduction of thickness you used.
Is carbon fiber any more difficult to lay up with epoxy than fiberglass cloth, other than initially cutting the carbon fiber cloth?
Some time ago I watched YouTubes about a man who made a foam and carbon fiber pick up truck camper top. If I remember right two people could lift the camper shell.
http://uscomposites.com/Discounted Carbon Fabrics has the best prices I know of. If you used 15 yards of their $22.50/yard carbon fabric for walls, the roof and galley it would cost $337.50 for the cloth. Expensive but not outrageously so.
The cost could be somewhat offset by substituting 1/8" luan at about $12/sheet compared to 1/4" plywood at about $30/sheet. If you use 8 sheets times an $18/sheet savings that brings down the plywood cost by $144. $337.50 minus $144 equals $193.50.
I estimate using fiberglass cloth instead would cost about $71.50. $193.50 minus $71.50 equals an additional cost of $122.00 to use carbon fiber instead of fiberglass in my scenario to save about 66 pounds for the walls, roof and hatch.
Worth it?
I'd like to be the second person to try this.

More weight could be saved with a thinner floor strengthened with carbon fiber. Maybe as much as 60 pounds if you used 1/4" plywood for the floor instead of 1/2" plywood AND used carbon fiber under your foam insulation instead of 1/8" plywood/luan.
Danger Will Rogers, this has me contemplating doing it.
You could save more weight by only using 1/8" plywood inside the cabin, foam insulation with minimal wood framing, and only epoxy/carbon fiber outside. Might save another 85 pounds or so.
66+60+85=211 potential pounds saved.

I like it.
Edit: US Composites has a less costly 5.7 oz by 42" carbon fiber cloth for $14.50/yd for 10+ yard orders. That equals about $1.61/sq. ft. The $23.50/yd cloth is 50" wide so it costs about $1.95/sq. ft. $1.95-$1.61=$0.34. $0.34x9=$3.06/sq. yd. savings. So using this cloth might save an additional $63.00 or so for the walls, roof and hatch.
Thus brings my scenario to use carbon fiber instead of fiberglass for a 5 x 10 teardrop to only cost about $60.00. Peanuts!