Looking at the other tabs on this site i wasn't happy with how they sounded when playing 
with the song, so i got creative and here's my version which i think sounds 99.9% right 
i hope you think the same :)

Guitar tuned half a step down to : Eb Ab Db Gb Bb Eb

Chords used are

Aadd9
Eb-0
Bb-0
Gb-6
Db-7
Ab-7
Eb-5

E
Eb-0
Bb-0
Gb-1
Db-2
Ab-2
Eb-0

F#m*
Eb-0
Bb-0
Gb-2
Db-4
Ab-4
Eb-2

D
Eb-0
Bb-0
Gb-11
Db-12
Ab-12
Eb-10

or
Eb-2
Bb-3
Gb-2
Db-0
Ab-x
Eb-x

C#m7
Eb-0
Bb-0
Gb-6
Db-6
Ab-4
Eb-x

Bm*
Eb-0
Bb-0
Gb-7
Db-9
Ab-9
Eb-7

C#
Eb-x
Bb-x
Gb-10
Db-11
Ab-11
Eb-9

Verse 1 -

Aadd9       E        F#m
Some things we don't talk about
       D                            Aadd9   E
Rather do without and just hold the smile
Aadd9   E       F#m
Falling in and out of love
             D                        Aadd9  E
Ashamed and proud of, together all the while

Aadd9
You can never say never
C#m          F#m
Why we don't know when
              D
But time and time again
        Aadd9       E
Younger now than we were before

Chorus (x2)

Aadd9
Don't let me go
C#m          F#m
Don't let me go
              D
Don't let me go

Verse 2 is chords as 1st verse

Picture, you're the queen of everything
Far as the eye can see under your command
I will be your guardian when all is crumbling
I'll steady your hand

You can never say never
While we don't know when
But time, time and time again
Younger now than we were before

Chorus x 2

Aadd9
Don't let me go
C#m          F#m
Don't let me go
              D
Don't let me go

Outro

B#m              F#m
We're pulling apart and coming
E
Together again and again
B#m              F#m                     E
We're growing apart but we pull it together
                                B#m   F#m    E
Pull it together, together again

Aadd9  C#m  F#m  D  x2

Aadd9
Don't let me go
C#m          F#m
Don't let me go
              D
Don't let me go

Aadd9
Don't let me go
C#m          F#m
Don't let me go
              D
Don't let me go

Aadd9         C#
Don't let me go
             F#m
Don't let me go
              D
Don't let me go

Aadd9         C#
Don't let me go
             F#m
Don't let me go
              D
Don't let me go

Aadd9  C#m  F#m  D


Optional fingerpicking ending :-
1: Eb  +------0----------|------0----------|----0------------|------------0-------|
2: Bb  |--------0--------|---------0-------|-------0----3p2-2|------------0-------|
3: Gb  |-----------6-----|------------6----|----------2------|-2/4---2----6-------|
4: Dd  |--------------7--|----6-----------6|-----------------|------------7-------|
5: Ab  |----7------------|-4---------------|---4-------------|------------7-------|
6: Eb  +-5---------------|-----------------|-2---------------|------------5-------|