There were two new khajiit themed costumes announced in the March crownstore showcase: https://www.elderscrollsonline.com/en-us/news/post/26325
But khajiit culture has always had a lot of Asian influences (more South Asian than Chinese/Japanese though) so it's not surprising they'd wear clothes similar to traditional martial arts costumes. There's absolutely nothing in either costume's description to suggest that's what they're used for.