Though it's originally done in piano, same chords. 
Probably ought to be my favorite from SWD.

It is in the key of A#(Bb)

Intro: A# D# 
       A# D# Gm F

Verse
A#
Look in these eyes
                        D#
We know each other like our own skin and bones
A#
We know the scars,
                             D#                    Gm      F
how they got where they are, in places no one else knows.

Pre-Chorus
F       Gm    D#      
                 If you call this love, 
F       Gm    A#                D# 
              then show me some feeling 
F       Gm    D# 
                 and if it all goes numb, 
F       Gm    D#           F
              just keep on breathing.

Chorus
A#
I'll watch you falling from me
When you hit the ground, maybe you'll see
D#
The only way to fall is down
A#
I'll be up in the stars 
but I'll be anywhere you are
D#                       Gm   F    A#
Just say you need me and I'll come down

Verse 2
A#                                      D#
We'll never know, We'll never ever know if you just let it go
A#                                      D#                 Gm   F
We'll never know, We'll never ever know if you just let it go

Pre-Chorus 2
F       Gm    D# 
                 If it comes undone, 
F       Gm    A#               D# 
              then tie up your loose ends.
F       Gm    D# 
                 when the colors run, 
F       Gm    A#              D# 
              then all of the shapes blend.
F       Gm      D#                           F
        Oh, you know there's still a ways to go, 
F       Gm    A#             D# 
              so don't start retreating
F       Gm    D#
      No,   you just gotta take it slow
F             Gm
  When you're lost and all out of breath 
D#                  F
  You just call and I'll come running, Baby

Coda
F       Gm    D# 
F       Gm    A#                D# 
The days go by...