The pilot flying the airplane was in training so that he could get a tail wheel endorsement and a flight review since he was not current. The pilot and flight instructor did some air work in the practice area before returning to the airport to practice takeoffs and full stop landings. The pilot completed ten takeoffs and full stop landings with a right crosswind. They changed runways in order to practice a left crosswind landing. The flare and landing were normal. During the landing roll out, a gust of wind lifted the left wing and caused the airplane to weathervane and veer off the left side of the runway. The airplane struck an airport sign damaging the right horizontal stabilizer and right elevator. The flight instructor stated, “I should have corrected the aircraft sooner and before my student got out of control.”