"High anxiety and a lot of deep breaths," Rizzo said about dealing with the pressure.
"Every pitch gets bigger and bigger as the game goes on.
"Great win, to set these fans off with a win. Now we get to go back to Cleveland and take care of business."
Chapman, whose longest outing this season was 2 1/3 innings, was asked to go one out longer when Cubs manager Joe Maddon brought him in with out in the seventh and a man on first and the score 3-2.
But the Cuban-born reliever poured his 160km/hr-plus fastballs in to overpower the Indians, striking out four on his way to the critical save. Lester, who yielded two runs on four hits while striking out five, registered the victory. Cleveland starter Trevor Bauer took the loss, his second of the Series.
Before the game, spirits did not seem as high among fans compared to the first two games played in Chicago, as revelers seemed subdued, wary of a third straight loss at Wrigley.
But by the end, the crowd was roaring and after Jose Ramirez struck out to end the game, fans inside and outside Wrigley stood and sang the team song with the title dream still alive.
Chicago's Jake Arrieta, the game two winner for the Cubs, is scheduled to start game six tomorrow against Josh Tomlin, with a game seven to be played in Cleveland on Thursday (NZT) if needed.