Fuse rating vs Duty Cycle vs Wire Gauge. A fuse is nothing more than a thermal device. At a specific temperature, it will melt and fail. If you run a 10amp circuit with a 10 amp load, and a 10amp fuse. That fuse will fail at a certain amount of time, just due to a "normal" load. This is where duty cycle is observed and a circuit that would be capable of 15amp, will be down rated to x% of "duty".
A CB radio generally doesn't draw over 3amps. Some of the higher end models with more features can draw upwards of 5amp. Ham Radios, can draw significantly more amperage. "Best Practice" has always been to run any device installed in a vehicle to a fuse box "spare" terminal, or Directly to the battery with an inline fuse within 18" of the battery.