So, I've learned how to play this song on piano and next I started to
experiment with classical guitar sounds (standard tuning). 
Finally I've made this...I hope it's correct.
This is my own (and first) cover, so some chords may be false. 
I hope, you'll like it, enjoy!

Chords needed:

      Cm (x3101x@1)                Fm(ver1) (133111@1)   3   4   5   6       3   4   5   6        8   9  10  11
E|-0-|---|---|---|   |---|-0-|---|---|    |-0-|---|---|---|
B|---|-0-|---|---|   |---|---|---|-0-|    |---|-0-|---|---|
G|---|---|-0-|---|   |---|---|-0-|---|(or)|---|---|-0-|---|
D|---|---|-0-|---|   |-0-|---|---|---|    |---|---|-0-|---|
A|-0-|---|---|---|   |-0-|---|---|---|    |-0-|---|---|---|
E|-0-|---|---|---|   |-x-|---|---|---|    |-x-|---|---|---|

       Ab (xx1114@1)               Fm(ver2) (133111@1)          Bb (x1333x@1)  4   5   6   7       1   2   3   4       1   2   3   5
E|-0-|---|---|---|   |-0-|---|---|---|   |-0-|---|---|---|
B|-0-|---|---|---|   |-0-|---|---|---|   |---|---|-0-|---|
G|---|-0-|---|---|   |-0-|---|---|---|   |---|---|-0-|---|
D|---|---|-0-|---|   |---|---|-0-|---|   |---|---|-0-|---|
A|---|---|-0-|---|   |---|---|-0-|---|   |-0-|---|---|---|
E|-0-|---|---|---|   |-0-|---|---|---|   |-0-|---|---|---|

      Gm (355333@1)                Eb (x43121@3)  3   4   5   6       5   6   7   8        3   4   5   6
E|-0-|---|---|---|   |---|-0-|---|---|    |-0-|---|---|---|
B|-0-|---|---|---|   |---|---|---|-0-|    |---|-0-|---|---|
G|-0-|---|---|---|   |---|---|---|-0-|(or)|-0-|---|---|---|
D|---|---|-0-|---|   |---|---|---|-0-|    |---|---|-0-|---|
A|---|---|-0-|---|   |---|-0-|---|---|    |---|---|---|-0-|
E|-0-|---|---|---|   |---|-0-|---|---|    |-x-|---|---|---|

      D (xx0232@1)  5   6   7   8        2   3   4   5        2   3   4   5
E|-0-|---|---|---|    |-0-|---|---|---|    |-0-|---|---|---|
B|---|---|-0-|---|    |---|-0-|---|---|    |---|-0-|---|---|
G|---|---|-0-|---|(or)|-0-|---|---|---|(or)|-0-|---|---|---|
D|---|---|-0-|---|    |---|---|-0-|---|    |---|---|---|---|
A|-0-|---|---|---|    |---|---|---|-0-|    |-x-|---|---|---|
E|-0-|---|---|---|    |-0-|---|---|---|    |-x-|---|---|---|


[Intro]:
  
E|------------------------------------44444-3------|
B|-----44444-3---------44444-3----------------6----|
G|-------------5---------------5----------------5--|     }x2
D|---------------5---------------5-3---------------|
A|--3---------------3------------------------------|
E|-------------------------------------------------|

E|-------------------|
B|------4-------1----|
G|------5-------1----|
D|------6-------3----|
A|----6---6---3---3--|
E|--4-------1--------|

[Verse1]:

Cm (x3101x@1)                         Fm(ver1)	
  Everybody knows, everybody knows
Ab (xx1114@1)       Fm(ver2)   Cm (x3101x@1) That you cradle the sun, sun
                Fm(ver1)
  Living in remorse,
  Ab (xx1114@1)   Fm(ver2)
  Sky is over

  Bb (x1333x@1)              Cm (x3101x@1) Don't you want to hold me baby?
      
                D|-------------------|
                A|--6-6-6-6-5-5-5-5--|
  Bb (x1333x@1)          E|--6-6-6-6-5-5-5-5--|      
  Disappointed...   going   crazy...

[Chorus]:

  Gm (355333@1) Even though we can't afford
      Eb (x43121@3)   D (xx0232@1) The sky is over
  Gm (355333@1) Even though we can't afford
      Eb (x43121@3)   D (xx0232@1) The sky is over
  Gm (355333@1) I don't want to see you go
      Eb (x43121@3)   D (xx0232@1) The sky is over
  Gm (355333@1) Even though we can't afford
      Eb (x43121@3)   D (xx0232@1) The sky is over

[Verse2]:

Cm (x3101x@1) Behind closes eyes lie
  The minds ready to awaken you,
Fm(ver1)
  Are you at war with land
      Ab (xx1114@1)       Fm(ver2)
  And all of its creatures,
Cm (x3101x@1) Your not-so-gentle persuasion
  Has been known to wreck economies
     Fm(ver1)                   Ab (xx1114@1)   Fm(ver2)
  Of countries, of empires, the sky is over,

  Bb (x1333x@1)              Cm (x3101x@1) Don't you want to hold me baby?
                D|-------------------|
                A|--6-6-6-6-5-5-5-5--|
  Bb (x1333x@1)          E|--6-6-6-6-5-5-5-5--|      
  Disappointed...   going   crazy...

[Piano section]:
[this is a fast piano solo difficult to play on guitar, so just use chords: Cm, Fm(ver1)]

Bb (x1333x@1)                Cm (x3101x@1) Not even from the sun,
Bb (x1333x@1)                Cm (x3101x@1) Not even from the sun,
Bb (x1333x@1)                Cm (x3101x@1) Not even from the sun,
                       D|-------------------|
                       A|--6-6-6-6-5-5-5-5--|
  Bb (x1333x@1)                 E|--6-6-6-6-5-5-5-5--|
  Don't you want me to     run?

[Chorus]:

E|--6-5-6---6-5-6----|
B|--------8-------8--|
G|-------------------|
  Even though we can't afford
    Eb (x43121@3)   D (xx0232@1) The sky is over
  Gm (355333@1) Even though we can't afford
      Eb (x43121@3)   D (xx0232@1) The sky is over
  Gm (355333@1) I don't want to see you go
      Eb (x43121@3)   D (xx0232@1) The sky is over
  Gm (355333@1) Even though we can't afford
      Eb (x43121@3)   D (xx0232@1) The sky is over
  Gm (355333@1) I don't want to see you go
      Eb (x43121@3)   D (xx0232@1) The sky is over
  Gm (355333@1) Even though we can't afford
      Eb (x43121@3)   D (xx0232@1) The sky is over
  Gm (355333@1) I don't want to see you go
      Eb (x43121@3)   D (xx0232@1) The sky is over
  Gm (355333@1) Even though we can't afford
      Eb (x43121@3)   D (xx0232@1) The sky is over
  Eb (x43121@3)   D (xx0232@1)     Gm (355333@1) Sky is over us.