During takeoff with a crosswind from the left side of the airplane, the pilot of an amateur built, tailwheel equipped, Waiex held "left aileron into the wind." The left wing then "lifted up," the airplane veered to the left, and the pilot reduced engine power to idle. The airplane; however, continued to veer to the left. It then exited the left side of the runway into the grass, and struck a runway marker damaging the left wing and propeller.