Defensive hesitancy allowed Scott Arfield to smash home a half-volley and, although Mohamed Salah equalised almost immediately, the hosts could not find a winner despite having 35 attempts and 71 per cent possession.
Dyche arrived on Merseyside with a game-plan to keep things tight and get plenty of men behind the ball and he was justified as the Clarets left Anfield with a point, having taken four already from trips to Chelsea and Tottenham.
"I think you have got to defend well at these places," he said. "Our game-plan wasn't to come here and think, 'We are going to keep the ball all afternoon', but it is much harder to score from 30 yards than six and I thought we did that (limit chances) well today - other than their goal.
"My job is to allow this team the best opportunity to be successful. We dropped one into midfield and had an extra one rather than 4-4-2, and I am really pleased with the game-plan.
"Everyone says they (Liverpool) are having a tough time with set-pieces. We thought that would be important. We had two cleared off the line with set-pieces, so our game-plan was right to make things uncomfortable for them."