Midfielder Benson joined the Clarets in July 2018 after ending a two-year scholarship with Arsenal.
The play-maker had been with the Gunners' Academy since under-nine level.
Benson impressed in training and in a handful of games for the Clarets' under-23s in the latter stages of the 2017/18 season to earn a professional deal at Turf Moor.
A stand-out player for the Under-23s during the 2018/19 campaign, the central midfield man was named as a substitute for the Clarets' Premier League game at Manchester United at the end of January, 2019.
A hamstring injury then ruled him out of the closing weeks of the campaign as he missed the run-in to the U23s' campaign as they came up just short in their league and cup campaigns.
Benson then joined Anthony Glennon on loan at Grimsby Town until the end of the season.
The midfielder returned to Burnley, after COVID-19 cut the season short, before going on to make his debut for Sean Dyche's side against Sheffield United in September 2020.