I agree with twiddles' interpretation. The animation seems to depict the mental breakdown of a person over a period of time. The blackouts seem to mark the end of an episode with each episode getting progressively worse. During an episode the person seems to be trying to self soothe by creating a stronger persona (tidy monster) who claims to be able to fix the mess created by his fractured mind.

Some of this work seems to be inspired by the oscar-winning animation 'Ryan' which dealt with a similar subject matter:
http://www.youtube.com/watch?v=39glDm6Of04
Ryan became famous for the use of multi-perspective, non-linear projection to create a visceral reaction in the viewer. The animators of Tidy Monster might also be using a similar technique.
Techniques used in Ryan:
http://www.cs.mcgill.ca/~kaleigh/publications/perspective_talk.pdf