Alli won Spurs' opening penalty, but also was lucky not to be sent off for a shocking challenge on Charlie Taylor.
Dyche said, "It was a tough one - Dele Alli is out of control - he was never going to get the ball. Number of years ago that was just a big challenge, but it's a tough one today - an orange card.
"The penalty was a tough one but generally they get given. I think it was a penalty after Barnes was fouled.
"The one person I've not mentioned is Harry Kane - he's a fantastic player. He must be up there with one of the best strikers in the world.
"You lick your wounds today. They turned up and we didn't quite. Overall, I know where the club is at. We have to be really happy where the club is at."