Chechens
The main language of the Chechen people is Chechen. Chechen belongs to the family of Nakh languages (Northeast Caucasian languages). Literary Chechen is based on the central lowland dialect. Other related languages include Ingush, which has speakers in the neighbouring Ingushetia, and Batsbi, which is the language of the people in the adjoining part of Georgia. At various times in their history, Chechens used Georgian, Arabic and Latin alphabets; as of 2008, the official one is now the Cyrillic script of Russia.
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).