The end goal was to order a query by a list of specific values for a column, but then also order those by a created_at date in ascending order and then by id in ascending order
This proved to be more of a challenge than I originally thought. The solution I came up with is as follows.
SELECT id, clientId, created_at
FROM `claims`
WHERE `clientId` IN ('FOO', 'BAR', 'BAZ', 'FIZZ')
ORDER BY clientId = 'FIZZ', clientId = 'BAZ', clientId = 'BAR', clientId = 'FOO',
created_at ASC, id ASC