Update - The Russians are Now Reporting that Lysychansk has Fallen

There was a Russian TV report from the Lysychansk City Park about 8 hours ago. The Ukrainian defence channels on Twitter are already posting withdrawal justifications like "The fundamental principle is that no battle, combat, or skirmish is to be fought unless it will be won" 

From the Guardian about 6pm EST Saturday:

Ukrainian officials say that Lysychansk remains in Ukraine’s hands, despite claims from Russia that the city “has been brought under control”, Reuters reports. Ukrainian forces have spent weeks trying to defend the city, Ukraine’s last bastion in the eastern province of Luhansk. The city saw intensified fighting on Saturday and videos on Russian media showed Luhansk militia waving flags and cheering in Lysychansk streets. A spokesperson for the pro-Russian separatist forces said “Lysychansk has been brought under control,” but “unfortunately, it is not yet liberated.” Despite fierce battles near the city, Lysychansk is not surrounded and remains under control of the army, said Ruslan Muzychuk, the Ukraine national guard spokesman. “The goal of the enemy here remains access to the administrative border of Donetsk and Luhansk regions. Also, in the Sloviansk direction, the enemy is attempting assault actions,” he said.