Will Singletone Pattern work in Clustered environment ?

No. It will not.

Yes, Singleton pattern is a creational pattern and its purpose is that only one instance of a class will be created. That instance can be share in a cluster environment.

The Singleton class instance will be never shared in clustered instance. It will be always one instance per JVM.

That means applications with singleton class(es) wont work in clustered environment?

Singleton pattern wont work in clustered environment. If you want to use it, either you can use JNDI to store the object so that all the jvms have access to same object. OR you can bind the object using RMI.

Yep we can make the Singleton class synchronized and non clonebale...