Raina (59) and Faf du Plessis (39) added 83 runs for the second wicket to revive the innings after Delhi Capitals bowlers produced tight spells upfront.
Later, skipper MS Dhoni, who returned to the side after recovering from a bout of fever, and Ravindra Jadeja added some quick runs to provide a late flourish to the innings. He smashed an unbeaten 44 off 22 balls with four fours and three sixes while Jadeja smashed 25 off 10 with two sixes.
Dhoni creamed off 20 runs from Kiwi pacer Trent Boult's final over, hitting two sixes and four.
When Shane Watson could not open his account even after facing eight balls, in desperation the Australian swung his arms but only to find a fielder near the boundary.
IPL veteran Suresh Raina added some pace to the CSK innings with a flurry of boundaries. Along with Du Plessis, he moved the ball around and hit the boundaries when he got the chance.
The first six of the innings was hit in the 13th over when Du Plessis dispatched a full delivery from Sherfane Rutherford over extra cover. The South African repeated the act when Axar Patel operated soon after.
However, the left-arm spinner got the revenge in the next ball when the Protea batsman attempted another big shot.
Raina too departed in the next over with Suchith getting him caught at the point but not before hitting the spinner for two fours and a six.
Dhoni then led the side to a fighting total.