The rekindled romance of rocker Ryan Cabrera and heiress Lydia Hearst is burning bright. The two looked “very cozy” at the Juliet Supperclub in Chelsea the other night. A source said: “They were drinking and dancing provocatively until 4 a.m. Then they left hand-in-hand and went home together.” Earlier this month, the pair reconciled six years after splitting up. They rekindled over dinner at Tanuki Tavern at the Gansevoort Hotel and then Bar 675.