The first Chinese reusable rocket is probably named CZ-8R. The non-reusable variant is scheduled to be launched this year. The 8R is rumored to be launched in 2021. Just wait and see.China until quite recently used hypergolic rockets. Not something exactly easy to reuse. You need special suits and a special environment to refill a rocket like that. Their most recent engines and rockets however are more amenable to reuse. One of the private Chinese companies is developing rockets with a similar guidance profile to the Falcon 9 in terms of reuse back to land. I think it is a question of time until other nations start doing rocket reuse too. One example is Japan. The engine on their H-III rocket is really well suited for reuse, even more than SpaceX's. The H-III could be redesign into a reusable rocket if they wanted to. Thing is they do so few launches it will probably not be cost competitive to reuse. China does many launches so it will be profitable to reuse rockets.