Exception chaining is evil (because of hidden dependencies) - the solution is:

This entry is inspired by pascal's comment. Hi stated "Note that it also raises the point that remote services (Session Beans) should never throw technology-bound exceptions such as JPA ones. One should implement his own hierarchy of exceptions and translate them accordingly, you wouldn't want to have to deploy the JPA and other JEE jars on the clients just to have the exception classes (ewww).", which is absolutely also my opinion.
But the decoupling can be (partially) achived in more simple way. Instead of stopping the exceptions chaining, the super-exception in your hierarchy should implement the java.io.Externalizable or Serializable in a special way. Instead of serializing everything, only the payload in String/XML format should be passed across the network boundaries. In that case it is not needed for the client to have all the libraries of the chained exceptions in the classpath.
To implement this you have either implement the "secret" methods from the java.io.Serializable interface:

private void writeObject(java.io.ObjectOutputStream out)
     throws IOException
private void readObject(java.io.ObjectInputStream in)
     throws IOException, ClassNotFoundException;

or implement the Externalizable interface and so the methods:

void writeExternal(ObjectOutput out)
                   throws IOException
void readExternal(ObjectInput in)
                  throws IOException,
                         ClassNotFoundException