Green's 17-yard run in the third quarter gave the Mocs (2-1) the lead. After recovering an Eastern Kentucky fumble, Chattanooga marched 48 yards to Tyson's 1-yard touchdown with 54 seconds remaining.
T.J. Pryor was 15 of 28 for 164 yards and two touchdowns passing for Eastern Kentucky (1-2).
Green rushed for 68 yards on 21 carries.
B.J. Coleman completed 26 of 40 passes for 277 yards with a touchdown and an interception for the Mocs, who shut out their opponent after halftime for the second straight game.
The Colonels were limited to 84 yards of offense in the second half.
South Carolina AD Ray Tanner is not "100 percent sure" Saturday's game vs. No. 7 LSU will be played at Williams-Brice Stadium because of devastating floods that hit the state.
UCLA junior linebacker Myles Jack has withdrawn from school and will enter the NFL draft, making the decision just weeks after suffering a season-ending knee injury.
A judge has dismissed simple assault charges against Rutgers wide receiver Leonte Carroo after the woman he allegedly attacked after a football game said she didn't want to testify.
Auburn senior receiver D'haquille Williams has been dismissed from the team.
Colorado coach Mike MacIntyre said he was sorry for getting into a sideline altercation with an assistant coach during a 41-24 loss to Oregon over the weekend.
Alabama coach Nick Saban took exception with the media's outlook on his team prior to Saturday's win at Georgia, lashing out at those who "buried" the Crimson Tide.