Islamic supremacists around the world maintain a continuous pressure to impose Shari'a law everywhere a crack appears. Recently a crack appeared in Chechnya, and Islamic law forced its way in.
Ramzan Kadyrov, the Chechnya president, knows Moscow wants to keep Islamic rebellions at bay, and their desire is a weakness that can be exploited. So Kadyrov is imposing Shari'a, and Moscow is allowing it, even though it violates the Russian constitution. For example, Kadyrov agrees that the seven victims of honor killings were "loose women" and deserved what they got.
Kadyrov describes women as the property of their husbands and says their main role is to bear children. He encourages men to take more than one wife, even though polygamy is illegal in Russia. Women and girls are now required to wear headscarves in all schools, universities and government offices.
These are all manifestations of Shari'a law. Read the whole story: Islamic Law Allowed In Chechnya.