This was a really interesting read. I love all the personification here. I did feel, however, that there were a few unnecessary words. This is merely a suggestion, but if I were to write this piece over, these are some of the changes I would make:
With
a flagrant disregard for the thin drum skin
of altitude wrapping
the wings.
We practice height
for gain, Thanks, like these little tweaks. 
for the eulogy of the moment
before we are just skin.
(Like this!)
Wings, beating a hostile heart
against white stoppers corking mountain tops-
(Like this!)
our moment in flight is
statis (Meaning? Slang term? Or is this just a wrong word?) It's supposed to tie in with the 'fragment of plummet' later on, falling over and over. Bit of an oxymoron with 'flight' and 'stasis' together but I think I will probably keep that one as it is.
no longer the
flowering bruise of progress.
Healing.
Speaking voiceless in compensation's vernacular
(I don't know what to do here, but this line isn't working for me. I'd rephrase the whole thing.) Yes, me too. This was one of my problem lines. I think it's a hopeless one, will probably get rid.
the bows and beats
of every lisp.
I fly like the memory of the courageous
(Not loving this line.) Any particular reason for not liking it? I'm just curious, as I quite like it but realise it's a little cliche.
but when I
finally lie
(That word is just a little emphatic.) Agreed.
dry and dreamless
in my fragment of
plummet (Not sure about this word. You're using it as a noun the way it reads. And you can. But the noun and "fragment" don't really work together for me.) For me, the idea is that the eagle (or narrator) is falling and it's a fragment of plummet because it's falling that same fall over and over...I was trying to convey a sort of hopelessness but if it's not clear then it defo needs some adjustment.
Take from that what you will. I think this piece has a lot of potential. I'd love to see what you do with it.

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