Things like timelines having time that passes at different rates would not qualify, as even the theory of general relativity already establishes that with just one regular time dimension time can flow at different rates in different places. Time flowing backwards in another universe would also not qualify it to have an additional time dimension, as it would still use the same directions of past and future as regular time, just with events playing out in reverse. For the same reasons, statements about independent time streams or of separate kinds of time, which could flow parallel to the original time, would not qualify.
Neither would dimensions that are timeless voids or are described as beyond spacetime in general qualify. Unless they contradict themselves, these realms should not have a time dimension at all, with change in them happening according to other principles. If they, on the other hand, do contradict themselves, the statement of them not having regular time would inherently not be reliable, making the idea equally unusable.