Tony Philliskirk's side continued their fine form, with a 1-0 win over Barnsley securing their third consecutive win in 2019.
Striker Will Harris struck in the 50th minute, as the young Clarets remain unbeaten in the new year with three wins and a draw from their opening four fixtures.
It was a quiet first-half from both sides, neither team with any real opportunities.
Burnley came close to opening the scoring, when defender Richard Taylor headed just over the bar from close range.
And goal-scorer Harris then came close, as his attempted lob over the on-rushing Barnsley keeper' fizzed just wide.