Fighting rages on in Chechnya.
Then again, fighting has been raging on for over 5 years. Currently we are in the second Chechnya war, the first which lasted between 1994 and 1996.

Chechnya war is largely ignored which is not surprising since the war takes place in a small obscure, mountainous Central Asian region. Terrible atrocities have been commited against the locals who fight back with fierce guerilla tactics and extreme measures like suicide bombings.
Also similarities have been made to the Afghan war in that though controlling the cities, vastly numerically and technologically-superior Russian military forces are being tied down in a brutal war and suffering heavy losses by local resistance hiding out in the countryside who doggedly refuse to allow occupiers (Soviets in Afghanistan-1980s) total control of their nation.