Tottenham were awarded two penalties within 60 seconds at the start of the first half.
Dutchman Rafael van der Vaart scored the first but put his second spot kick wide after being ordered to retake it because players had encroached into the area.
While Bolton equalised in the second half through on-loan striker Daniel Sturridge, it was the referee's refusal to award Bolton a penalty when Gary Cahill went down under a challenge from Steven Pienaar that incensed Coyle.
Clattenburg instead booked Cahill for diving and Coyle said: "It was a wonderful game, two teams going all out to win but we feel very disappointed to be leaving with absolutely nothing.
"It was a stonewall penalty. The lad's left his leg out, Gary's tried to step over him to get his shot away.
"To compound that and to book Gary Cahill for simulating which, let's not beat about the bush, what he is saying is that Gary Cahill was cheating in trying to gain an advantage of a penalty, that's one thing that lad would never do.
"It was one each at the time. In the second half we were terrific and scored a good equaliser and at one each we were well placed to go on and win the game. But for that not to be given. There was also a challenge on Lee Chung-yong when he stepped on the park - we could be here all day."