Substitute Jay Rodriguez scored an 89th minute winner, heading past Aaron Ramsdale from Ashley Westwood's cross to send the Clarets 10th in the Premier League. Here's how we scored the players on the South Coast.
5. Charlie Taylor 6
Had a job on his hands in the second half when King went out on to the right hand side and Stacey provided the overlap. However, stuck to his task and limited the openings.
6. Jeff Hendrick 5
Struggled to get in to the game and, after picking up a booking, was replaced by Lennon in the 65th minute. Afforded Rico the licence to keep getting forward.
7. Jack Cork 6
Had to dig in and cover plenty of ground in a bid to restrict the space for Billing, Lerma and Gosling to work in. Stood the Cherries' midfielders up well and restricted their options on the ball.
8. Ashley Westwood 7
Led Burnley's press relentlessly, particularly when needed most in the second half, and continuously tried to get on the ball. Supplied the cross for Rodriguez's late winner.