Chubb is the direct descendant of the founders of Chubbtown, a community begun by freed slaves after the Civil War. He grew up in nearby Cave Springs and made headlines at Cave Springs High by running for over 5,400 yards and 79 touchdowns over his junior and senior seasons. The top-50 overall recruit garnered many honors as a true freshman in 2014, including SEC Freshman of the Year, first-team All-SEC, and was named to various Freshman All-American squads. In 13 games (eight starts), Chubb rushed for 1,547 yards on just 219 carries (7.1 per) and 14 scores. He set a SEC bowl record and was named Belk Bowl MVP with 266 yards on 33 carries against Louisville. Chubb continued his run of 13 straight 100-yard games midway through his sophomore (747 yards, seven touchdowns in six starts), but a left knee injury (multiple ligaments, but no ACL) on the first play of scrimmage against Tennessee. Surprisingly, he returned to play every game in 2016, starting 11. He was not clearly not as explosive a runner as he was pre-injury, but the team captain still presented the power and enough speed to finish with 1,130 yards and eight touchdowns on 224 carries. Chubb finished his career strong, starting 14 games, leading the national runner-up Bulldogs with 1,345 yards on the ground, and scoring 15 times on 223 carries (plus four receptions, 30 yards receiving) and garnered second-team All-SEC honors to finish second in the school's annals in rushing.