Dodd attended Riverside High School in Greer, South Carolina . As a senior, he had 78 tackles and nine sacks . He committed to Clemson University to play college football. Dodd spent a year at Hargrave Military Academy after graduating from high school. 
Dodd played in 24 games and had 20 tackles as a backup his first three years at Clemson from 2012 to 2014.  In 2015, Dodd became a starter for the first time and recorded 60 tackles and 12 sacks.   During Clemson's loss to Alabama in the 2016 College Football Playoff National Championship , he had seven tackles and three sacks.
|Ht||Wt||Arm length||Hand size||40‑yd dash||10-yd split||20-yd split||20‑ss||3‑cone||Vert jump||Broad|
| 6 ft 5 in |
| 277 lb |
| 34 in |
| 10 in |
|4.86 s||1.69 s||2.84 s||4.44 s||7.18 s|| 30.5 in |
| 9 ft 2 in |
|All values from NFL Combine and Pro Day |
Dodd was drafted on April 29, 2016 by the Tennessee Titans in the second round (33rd overall) of the 2016 NFL Draft . He recorded his first sack in his first full start against the Detroit Lions in Week 2 after replacing an injured Derrick Morgan .  He was placed on injured reserve on December 5, 2016 after re-injuring his foot from early in the offseason.