UPDATE 1-Soccer-Burnley out of relegation zone with scruffy win
"I think it is a bit of relief, and enjoyment," Dyche, whose side had lost their last three fixtures at Turf Moor while conceding nine goals, told the BBC.
Though the goal was credited to Tarkowski, it was Jack Cork who was responsible for the 40th-minute breakthrough when his shot deflected off the England defender's midriff into the net.
It was a scruffy goal but Dyche was not complaining.
"A goal is a goal. When you find wins and clean sheets hard to come by, 1-0 is a very pleasing result," he said.
"Performances have been suggesting we were getting back to that hardy edge we know we have got. We created chances but it wasn't about that. It was about fight and spirit. We know we can get better but sometimes you've got to grind."
The goal was only what Burnley deserved, though, after they took control in the second part of the opening period with Chris Wood and Robbie Brady, who had also volleyed narrowly over, forcing fine saves from Mat Ryan.
Burnley also felt they should have earned a second-half penalty when Yves Bissouma's extravagant bicycle kick in his own box caught Phil Bardsley.
Yet on a special day for Burnley's Joe Hart, who was making his 400th league appearance in English football, the former England goalkeeper proved his quality as the home side held on under increasingly severe pressure.
(This story has not been edited by Devdiscourse staff and is auto-generated from a syndicated feed.)