Используйте ваш запрос как подзапрос, а затем выберите только те столбцы, которые вы хотите показать.Вот так:
SELECT REF_ID
FROM (
SELECT old.REF_ID, old.DATE FROM REFID_HISTORY old
INNER JOIN REFID_HISTORY new
ON new.REF_ID = old.REF_ID
UNION
SELECT new.REF_ID, new.DATE FROM REFID_HISTORY new
INNER JOIN REFID_HISTORY old
ON new.REF_ID = old._REF_ID
) t
ORDER BY DATE DESC;
Я создал демонстрационную демонстрацию:
http://sqlfiddle.com/#!4/d5e9e8/3
РЕДАКТИРОВАНИЕ: Q.Для Cust_ID = 'ABC123'
SELECT REF_ID
FROM (
SELECT old.REF_ID, old.CUST_ID,old.DATE FROM REFID_HISTORY old
INNER JOIN REFID_HISTORY new
ON new.REF_ID = old.REF_ID
UNION
SELECT new.REF_ID, new.CUST_ID, new.DATE FROM REFID_HISTORY new
INNER JOIN REFID_HISTORY old
ON new.REF_ID = old._REF_ID
) t
WHERE CUST_ID = 'ABC123'
ORDER BY DATE DESC;