Check the spelling of piece, otherwise, it is a little broken and hard to understand as you warned. What's the point of consuming and purging? If it is consumed, it is meant to be kept. If it is being sorted out for later use, it's not really purged, it's being winnowed or purified.
I feel it would be better if put entirely into the past tense, as if it were a story, being reflective as you would considering art that was a "done thing". You could, however, leave that last stanza like it is, sort of inviting current conversation as an after the story thing.
Personally, I would reverse the first line around a bit to say something like, "Pieces of thought were consumed, others winnowed out into the street where the chaff rose and left the important things." to put the emphasis on that subject right off the bat. The ideas given in the first stanza are good, the words need work.
The third stanza needs a lot of reconsidering, but the title is clever in that it can be considered in more than one way. Maybe you could hide a hint to that somewhere.
I'm unsure about the meaning of this line. I can't find a meaning to it or what it is supposed to connect to or modify in the poem as far as grammer goes. I have nothing against fragmented thought in general, but I do like it to have something it is connected to.
There's something seductive about this piece, Halston...I like the way you sort your thoughts in the first stanza...and who the heck are "they" to decide who is broken or not??? There is a huge difference between all together and THEN broken, and not quite finished/still putting the pieces together/undone. Humph to "them!" Not clear on what the "blue" is...hope it's not heavy around your neck...fear it may weigh you down...and...when nothing makes sense to others, it IS a piece of art, a one and only, unique creative expression...and with that, my friend, you have been gifted.
Please, continue writing forever and ever...and be careful about "extra ingredients" in your mind's developing chemical soup...
Here's hoping you find a good conversation! Hugs and stuff like that! ~Kimmy~