Like any foreign policy that covers a period of time, there were successes and failure. Overall I believe containment was one of the more successful foreign policies we have ever exercised, but the Soviet Union had considerable resources at its disposal to challenge us, and we could not protect the world, simply put.
I believe in the time frame you mention that containment was quite successful in Europe, as communism did not expand into a single country outside of the original Soviet bloc in East Europe. It was also successful in Korea and Taiwan during that time period.
Vietnam, Laos and Cambodia all fell to revolutions during that same time, and the US was unable to prevent Cuba from going communist, or the Sandinistas from taking power in Nicaragua. Through assassination and espionage, Marxist-leaning governments in Guatemala and Chile were overthrown.
So it was a mixed bag of success, essentially.