Taylor Swift and Travis Kelce were caught in a sweet, intimate moment during one of their many date nights in New York City over the weekend. A TikTok user shared a video of the NFL star, 34, wrapping his arms around the “Cruel Summer” songstress, 33, and holding her tight during their Saturday evening date.Swift appeared to be equally affectionate, as she was seen leaning her head into the crevasse of Kelce’s neck while hugging him back.The couple swayed back and forth for a few seconds, appearing as if they were dancing briefly, before leaving celebrity hot spot Nobu. The lovebirds hit up the popular Japanese restaurant before making cameos on “Saturday Night Live.” Swift made a brief appearance on the sketch comedy series while introducing her “Karma” collaborator, Ice Spice, as the night’s musical guest.Meanwhile, Kelce joined the show in a hilarious skit featuring Pete Davidson, Kenan Thompson and more that poked fun at his and Swift’s highly publicized relationship.“Travis was a surprise. He and Taylor showed up right before we started,” an insider told The Post.