The short video showed Kim, flaunting her curves in a black dress paired with denim choker and thigh-high boots, standing in front of a sign with the lyrics about Taylor from Kanye West's "Famous" written on it.
The 35-year-old "Keeping Up with the Kardashians" star took a photo of the sign and then shared it with her Snapchat followers using various hashtags including #taylorswift.
Kim and Kanye famously recorded his phone conversation with Taylor when they were discussing his "Famous".
Taylor, 26, only responded to the drama once and has since spent her time away from social media.
Recently, she ended her Twitter hiatus to congratulate the "Final Five" Olympic women's gymnastics team on their gold medal.
"Sending my biggest congratulations to Simone, Aly, Laurie, Gabby and Madison!" she tweeted on Wednesday, August 10. "YOU DID IT GIRLS!! #FinalFive.
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