This song relies a lot on bass guitar notes rather than chords.  As chords, 
though, this works. '!' means a stabbed chord, staccato.

INTRO
Dm, F, Bb... x 4, with some "doo doo doo"s.

VERSE 1
Dm (xx0231@1) F (133211@1)         Bb (x1333x@1)       Today's the day..
Dm (xx0231@1)     F (133211@1)            Bb (x1333x@1) ...the threading will fray.
Dm (xx0231@1)           F (133211@1)          BbToday (x1333x@1)you held me together: Fastened stuffing, silk and feathers,
Dm (xx0231@1)   F (133211@1)  BbTied (x1333x@1)up in lace.

Gm(7)                           Bb (x1333x@1)       And it won't be too long,
Gm(7)                           Bb (x1333x@1)       Until I know I'm not wrong.

Dm!x2
Oh.
F!x2
Oh.
Bb (x1333x@1)                      Bb/A
You can wear me, you can wear me
Gm (355333@1)                     C#mlike (x13321@4)a piece of jewelry
(x 2. Second time, use Dm!x4, F!x4.)

Repeat intro.

VERSE 2
Dm (xx0231@1) F (133211@1)          BbQuenching (x1333x@1)the thirst
Dm (xx0231@1) F (133211@1)          BbMeans (x1333x@1)stitching will burst
Dm (xx0231@1) F (133211@1)          BbToday's (x1333x@1)the day you sewed my skin with angel hair and insect string
Dm (xx0231@1) F (133211@1)          BbAnd (x1333x@1)softened the curse

prechorus.
chorus.
Solo on the thematic chords: Dm, F, Bb..., on and on, and wind down.
With some Doo doo doos that slyly swap for "And I'm undone."