If you want the last 5 rows, ordered in ascending order, you need a subquery:
SELECT *
FROM
( SELECT id, name, form_id, DATE(updated_at) AS updated_date, updated_at
FROM wp_frm_items
WHERE user_id = 11
AND form_id=9
ORDER BY updated_at DESC
LIMIT 5
) AS tmp
ORDER BY updated_at
After reading the question for 10th time, this may be (just maybe) what you want. Order by Date descending and then order by time (on same date) ascending:
SELECT id, name, form_id, DATE(updated_at) AS updated_date
FROM wp_frm_items
WHERE user_id = 11
AND form_id=9
ORDER BY DATE(updated_at) DESC
, updated_at ASC