"He had his arm around her," an onlooker tells PEOPLE

Credit: Karwai Tang/WireImage; Samir Hussein/WireImage

Has Taylor Swift filled that “Blank Space”?

The singer, 25, continues to fuel speculation that she’s dating EDM artist Calvin Harris after the two were spotted getting cozy at Kenny Chesney‘s Nashville concert Thursday night.

“They walked out beside the stage right before Kenny Chesney went on stage, and they were holding hands,” concertgoer Sydnie Beeman tells PEOPLE. “The next time we saw them, Taylor was dancing. Then, she leaned into Calvin, and he had his arms around her, and they were kissing.”

Others in the audience have posted photos of Swift and Harris, 31, holding each other in the crowd. http://ohsoswiftly.com/post/114736040283/x

The two were also seen chatting with a young fan after leaving Nashville’s Whole Foods together – in adorably color-coordinated outfits – earlier in the week. http://1989wonderstruck.tumblr.com/post/114683597259/matching-outfits

This wouldn’t be either star’s first time dating a fellow musician: Swift has been single since splitting from Harry Styles, 21, in January 2013, and Harris broke up with Rita Ora, 24, in June 2014. Before that, he was linked to Swift pal Ellie Goulding, 28, though they seem to be on good terms – their collaboration “Outside” is currently climbing the charts. (Reps for for Swift and Harris did not immediately respond for comment.)

Watch Swift’s surprise performance with Chesney below:

Reporting by MELODY CHIU

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