Yes, there was simmering ethnic conflict in Chechnya for decades, due to what happened during WW2. To cut a long story extremely short, many Chechens were deported from Chechnya during WW2 due to percieved and actual collaboration with the Nazis, and they were felt to be a threat. Many of their lands were given to other SSRs and even homes and lands were given to other groups, including many Russians. There was a huge tension between these newly settled groups and returning Chechens, who like other groups were allowed to move freely throughout the USSR after 1957, at which point the Chechen SSR was restored to existence but with severances of various portions of its territory. Chechens were not taught in their native language for many years, and almost all of the higher-paying jobs were done by foreigners, usually Russians and Ukranians. This tension was allowed expression during Perestroika, where many Chechen nationalist organizations were established, often modelling themselves off similar organizations in the Baltic, including the Bart trade union. (Unity) This eventually led to the increasing power of the Chechen nationalist movement and the Chechen Wars. I can go into further detail if you want, but that's a general overview.