[2] After redshirting his first year at Boise State in 2013, Finley played in five games in 2014, completing 12 of 27 passes for 161 yards with two touchdowns and an interception.

[7] In Finley's redshirt junior year, he completed 312 of 479 passes (65.1%) for 3,518 yards, 17 touchdowns, and 6 interceptions.

[12][13] After opening the season as the backup quarterback to Andy Dalton, Finley was named the starter on October 29, 2019.

[15] In Week 12 against the Pittsburgh Steelers, Finley threw for 192 yards and a touchdown and lost two fumbles in the 16–10 loss.

[18][19] Finley completed 3 of 10 passes for 30 yards, an interception, and a 0.0 passer rating as the Bengals lost 20–9.

[20] The following week, Bengals coach Zac Taylor named Brandon Allen the starting quarterback over Finley.