Kightly netted the only goal of the game in the 65th minute, combining neatly with Kieran Trippier before driving into the roof of the net from 16 yards.
The win over managerless Barnsley ended a run of five in the league without a win for Burnley and, along with results around them, saw the Clarets jump from third to first in the table.
Burnley's winless run saw them pick up just three points in the whole of November but Dyche insisted that did not constitute a slump and wanted to concentrate on Kightly's efforts.
"I've read this week that we've been going through a mini-slump. Well, we've dropped from the top to third place, and then back to the top, I hardly see that as a crisis," said Dyche.
"It was a marvellous moment of quality that won the game for us. It was a fantastic goal from Michael.
"He's had his ups and down since he joined us, but the move was good, a nice little ball to him and he took his shot ever so well. It was a great moment for us and a great moment for him.
"Barnsley had nothing to lose. It was us that faced the toughest fight because all the pressure was on us.
"We never really looked in trouble though. We controlled the game almost throughout.
"I gave the players a bit of a reminder just how good they are at half-time, and that's clearly had a positive effect.
"On our day we can match anyone in this division. We just needed to work out a way to win the second half, and we got there in the end."
Barnsley caretaker boss Micky Mellon was upbeat despite defeat but could not confirm how long he would be remaining at the club let alone state his intention to put his name forward for the permanent job.
"I've not been told anything by the board. I don't know whether I'll still be here tomorrow, never mind being in change for the Yeovil game next weekend," said Mellon.
"In the first half we created some really good chances, some very presentable opportunities.
"However we all know that when you come to a place like this, with the opposition flying high in the table, you have to take those chances.
"We didn't and this is the result. We've got to take a lot of positives away though. We won during the week and then we had got into some great positions.
"We could have done better in front of goal, but it's never easy at a place like this.
"It was important that we all saw a reaction after what happened last week. It's been a difficult period, but the players have shown that they are up for the fight and we had a right good go."