A rain-gutter cleaning system has an agitator head that is mounted to the top end of a long suction tube and pole and supported aloft by them. A vacuum pump on the ground is connected to bring rain-gutter debris down the suction tube and into a collection bag. The agitator head includes opposite, synchronized rotating paddles that tear and break up tangles and clogs encountered in a rain gutter and that helps direct the loosened debris down the throat of the suction tube. An optional camera mounted atop the agitator head allows an operator on the ground below to see the performance inside of the rain gutter on a small monitor screen.