Chechnya is not an independent country thus the war is Russia. There is also active hostilities in Georgia, through out its break away provinces.
Chechenya once declared independence after the collapse of Soviet Union, while it was not recognized by any state. In terms of war, it would probably not fit in the category anyways since the opposition group no longer has control of Chechenya and without the security force with a stable region under cobtrol to defend it. Therefore, it would fit in the category of conflict, or dispute at its best.