Widget.addHandler() on GWT Button not working correctly

I am trying to use method addHandler on a Button. Following is my code:

private void attachClickHandler(Widget widget) {      ClickHandler clickHandler1;      ClickHandler clickHandler2;        clickHandler1 = new ClickHandler() {            @Override          public void onClick(ClickEvent event) {              System.out.println("ClickHandler One");          }        };      clickHandler2 = new ClickHandler() {            @Override          public void onClick(ClickEvent event) {              System.out.println("ClickHandler Two");          }        };      ((Button) widget).addClickHandler(clickHandler1);      widget.addHandler(clickHandler2, ClickEvent.getType());  }

If I add both handlers, it works perfectly. But if I try to add only clickHandler2 (with widget.addHandler(...), then the handler is not called.
Not able to figure out why?
Thanks in advance.

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