Riding on Lendl Simmons' 41-ball 63 and Rayad Emrit's three for 21, T&T overhauled the 118-run victory target with 29 balls to spare at the Feroze Shah Kotla stadium last night.
T&T not only topped the Group but also marched into the semi-finals where they will meet Mumbai Indians on Saturday at the same venue.
However, Narine's brilliant effort with the ball could not be ignored as his spell of 12 for none in four overs tied the Chennai batsmen in knots, especially the destructive skipper Mahendra Singh Dhoni.
"Dhoni did not get a chance to score against him and he helped in building pressure on Chennai. We knew there was a 60:40 per cent chance that he will go after the other bowlers," he added.
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Dhoni made a run-a-ball 25 studded with two fours.
"We adapted well to it. I am happy with the performance of my bowlers. It was important to get a good start. Ravi Rampaul got Hussey out early into the innings which was an important wicket for us. We won the toss which was also important. We had a chance to know what to do like they set a target and we need to overhaul it in 17.4 overs. We planned out well and did it," he said.
Talking about their high-voltage semi-final clash against Mumbai, Ramdin said he expects his spinners to come good.