Caveness led the Razorbacks to an undefeated season in 1964 (11–0), winning the Southwest Conference championship, and defeated Nebraska in the 1965 Cotton Bowl, 10–7. Caveness was the Defensive MVP of the Cotton Bowl. Arkansas was the only undefeated team left after the bowl games, and was named the 1964 national champions by seven different selectors. Alabama was awarded the AP Poll and UPI Coaches Poll national titles, but only because, at that time, both polls gave out their championships before the bowl games. Alabama lost in the Orange Bowl to the Texas Longhorns, a team Arkansas beat.
Caveness also spent the 1973 season as a linebacker coach for the Houston Oilers. He was inducted into the College Football Hall of Fame in 2010.
^"1965 Los Angeles Rams". databaseFootball.com. Archived from the original on September 8, 2007. Retrieved July 18, 2020.{{cite web}}: CS1 maint: unfit URL (link)
^"Archived copy"(PDF). Archived from the original(PDF) on May 17, 2011. Retrieved January 12, 2008.{{cite web}}: CS1 maint: archived copy as title (link) Arkansas Razorbacks Media Guide