Spurs were required to win the match at Stamford Bridge in May 2016, as they continued to pursue Leicester City at the top of the Premier League table towards the end of the 2015-16 season.
Harry Kane and Son Heung-Min had given Mauricio Pochettino's side a 2-0 lead, but Gary Cahill and Eden Hazard pegged Spurs back. Clattenburg has since become talk of the town for his comments on officiating the game.
Clattenburg, who is head of referees in Saudi Arabia, said he allowed Spurs to "self-destruct", rather than dishing out red cards so he was not blamed for their Premier League title downfall. The 42-year-old claims he could have sent three Spurs players off.
Gallagher vented his anger at Clattenburg's comments and performance as referee during the match, stating that Clattenburg is a "maverick" but criticised the former Premier League referee for his decision to shift the blame.
"We are duty bound to treat every player in every game firmly, fairly and consistently," said Gallagher. "He [Clattenburg] certainly didn't. It was all about him, wasn't it?"
"Let's not forget one thing, he was a fantastic referee. He was an individual, there's no doubt about that. He had a maverick side to him.
"He was a fantastic referee and maybe he thought because he was respected so much by the players he could take those gambles. On this occasion it was a gamble too far."
Spurs eventually finished third in the Premier League table following their collapse after the Chelsea draw, which saw Clattenburg dish out nine yellow cards but no reds. Retrospectively, Mousa Dembele was handed a six-match ban, and both sides received record fans.
Pochettino's side are next in action on Wednesday night as they go up against APOEL Nicosia at Wembley in the Champions League.