Tarkowski's first home goal of the season almost made it the perfect day for the defender, who replaced injured sidekick Ben Mee as skipper for the first time in the top flight.
“It nearly was. It's disappointing from that aspect, but overall, it's not a bad day at the office," Tarkowski told the club's website.
“It's a shame for Ben, who's been brilliant recently. It's a great honour to lead Burnley out in the Premier League as captain.
“It's something I'm really proud of, to lead out these lads who give everything week.
“I don't think we're too down about the fact it's a draw. They're a good side.
“They came out the blocks really fast but after that I thought we got control of the game and were pretty comfortable.
“It's just a bit disappointing we were 1-0 up and feeling quite comfortable and not really looking in any danger.
“We maybe should have punished them and gone 2-0 up at some point.
“They had one chance from a set-piece and got a goal, which is a bit disappointing, but it's another game unbeaten which is another pleasing aspect of it."