Chechens
In 1989, 73.4% spoke Russian, though this figure has declined due to the wars for a large number of reasons (including the lack of proper education, the refusal to learn the language, and the mass dispersal of the Chechen diaspora due to the war). Chechens in the diaspora often speak the language of the country they live in (English, German, Arabic, Polish, Georgian, etc.).
Krymchaks
The Krymchaks speak a modified form of the Crimean Tatar language, called the Krymchak language. It is the Jewish patois, or ethnolect of Crimean Tatar, which is a Kypchak Turkic language. Krimchak is not a distinct language, but only one constituent of Crimean Tatar. Before the Russian Revolution in 1917, the Krimchaks were at least bilingual: they spoke the Krimchak ethnolect and at the same time mostly used Hebrew for their religious life and for written communication. The Krimchaks adhered to their Turkic patois up to  World War II, but later began to lose their linguistic identity. Now they are making efforts to revive their language. Many of the linguistic characteristics of the Krimchak language could be found in the Crimean Tatar language. In addition, it contains numerous Hebrew and Aramaic loan-words and was traditionally written in Hebrew characters (now it is written in Cyrillic script).