He was named to two All-Arkansas Intercollegiate Conference (AIC) teams and was part of the 1966 AIC Football Championship team during his freshman season. Harris was part of the track and field team and graduated with a degree in math.
He was inducted into the Arkansas Sports Hall of Fame (1985), the NAIA Hall of Fame (1978) and the Ouachita Athletics Hall of Fame (2003).
He would eventually team up with Waters to form the top safety duo in the NFL in the 1970's. Harris made it a point to wear the pads of placekickers in order to keep his speed and quickness up.
Harris was nicknamed "Captain Crash" by his teammates for his punishing hits and reckless pursuit of ball carriers and was also described as a "rolling ball of butcher knives" by hall of fame coach George Allen.Pro Football Hall of FamesafetyLarry Wilson said of Harris, "I feel Harris is the finest free safety in the business today. He changed the way the position is being played. You see other teams modeling their free safeties around the way Harris plays the pass, and striking fear in everyone on the field because he hits so hard.". The Cowboys' defense ranked in the top 10 every year with him in the lineup.
Harris finished his ten NFL seasons with 29 interceptions, which he returned for 281 yards and one touchdown, and 16 fumble recoveries, which he returned for 91 yards. He also was used in special teams during the first half of his career, gaining 418 yards on punt returns and 1,622 yards returning kickoffs.