When Changeling Berserker enters the battlefield, its champion ability and Dual Nature's first ability trigger.
Resolve the Dual Nature trigger, creating a token copy of Changeling Berserker.
When the Changeling Berserker token enters the battlefield, its champion ability triggers, exiling the nontoken Changeling Berserker.
Dual Nature's second ability triggers, exiling the Changeling Berserker token.
When the Changeling Berserker token leaves the battlefield, the nontoken Changeling Berserker is returned to the battlefield from exile.
Repeat from step 2.
If you control additional creatures you wish to blink, you may resolve the Changeling Berserker trigger in step 2 to exile them, and then proceed with the combo.