The 19-year-old "Chrisley Knows Best" star appeared to diss the actress, also 19, after Thorne attended Parsons' basketball game with the Memphis Grizzlies on Tuesday.
Thorne wore Parsons' jersey and fishnet stockings, painted his number on her face, and referred to him as "babe" in posts from the game.
Chrisley seemed to respond by wondering aloud in an Instagram Live video whether fishnets should be worn outside of Halloween.
"Self-absorbed people only think about what makes them feel good at the moment -- they don't have any respect or regards for anyone else. Then they wonder why their relationships fail," she added in a since-deleted post.
Chrisley and Parsons had sparked dating rumors in February after the reality star attended one of Parsons' games.
Speculation intensified after she discussed the 28-year-old NBA player during an interview with dad Todd Chrisley on "Access Hollywood Live" last week.
"We're friends. Like, we met, I've gone to a game. We hang out," the star said. "He's a fun person to hang out with. He's sweet. We have fun. As long as I'm a main [chick], I'm good."
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"He's got a great personality, but he's an NBA player," Todd added. "They're hoe hounds. So my daughter's not going to be on that list."
Chrisley downplayed her relationship with Parsons in a since-deleted Instagram post after the interview.
She shared a photo reading, "Let's Get One Thing Straight. I'm Not," and captioned it, "@chandlerparsons who?"
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