Not really, to my knowledge.

Maybe if the USSR had collapsed during the fifties or sixties, there would be cause for celebration, but the collapse of the USSR in 1991 wasn't a sudden breakdown due to international pressure but a long-running dissolution due to the internal conflicts and the will of the people.

American citizens, since mid-1989, had been hearing, reading, and watching the slow demise of communism in eastern Europe. The Berlin Wall fell, East and West Germany reunited, Poland and Hungary and all the other satellites declared independence, and then the individual republics of the USSR (starting with Lithuania, I believe) started to declare independence as well.

Everything was reported very soberly and professionally on news stations around the USA; there were no "WAR OVER! JAPS SURRENDER" type newspaper headlines like during World War 2. For a couple years, everyone sort of saw it coming, and at that point, the USSR wasn't really an "evil empire" (as Reagan called it) any more. The USSR was led by Gorbachev, who supported reform; it had pulled out of the war in Afghanistan; it had built a McDonalds in Moscow in 1990 (a huge symbol of American capitalism of course); it had allowed the independence of all of its republics without resorting to violence.

The people in Russia, Germany, and all over eastern Europe had of course tremendous cause to celebrate - their old, abusive system was dead, and now capitalism and democracy was on its way. But the United States wasn't really fighting a war, and the most it did to dissolve the USSR was when its leaders met with Gorbachev to help with dissolution and declare the cold war as finished.

tl;dr The USSR had been leaning towards reform and non-intervention for a couple years, and its collapse was getting pretty inevitable. Americans at that point had okay relations with them so there wasn't a need to dance and cheer when it ended.