Is there any benefit to having the blower fan on your furnace continuously run?

Not really.

However, if you prefer the movement of air house, let her rip. Remember, though, your paying for the fan to run on several layers. Obviously the electric service and then of course the overall life of the blower motor.

Ive heard that it can help with keeping windows free of frost and condensation which will helps keep the window sill from getting wet which could cause staining or worse yet mold.