An interesting song. The chords seem to be a standard 3 chord repeating pattern, 
given colour by subtle rhythm variations.  The chords are first.  I've added notes 
for the rhythm patterns after.


Bm              Em         Asus4           Bm
  We came home early hoping to catch you unaware
Bm          Em                Asus4          Bm
  A little cautious but we've always had too much care

 Bm        Em
Hand on an anchor
  Asus4          Bm
A weight on the world
 Bm        Em        Asus4
Hand on an anchor

Bm                Em           Asus4               Bm
  You've been so tired lately, your skin takes you nowhere
Bm          Em              Asus4          Bm
  We wonder what it is keeps you awake and out there

 Bm        Em
Hand on an anchor
  Asus4          Bm
A weight on the world
 Bm        Em
Hand on an anchor
     Asus4      Bm
Your weight in gold
 Bm        Em      Asus4     Bm     Em
Hand on an anchor
     Asus4
Your weight in gold

Bm          Em           Asus4              Bm
  Your optimism called to say it's out till Sunday
Bm           Em               Asus4            Bm
  Your disappointment shuffles off to meet you half way
Bm            Em               Asus4
  Somewhere along the line you fall

 Bm        Em
Hand on an anchor
  Asus4          Bm
A weight on the world
 Bm        Em
Hand on an anchor
     Asus4      Bm
Your weight in gold

 Bm        Em
Hand on an anchor
  Asus4          Bm
A weight on the world
 Bm        Em
Hand on an anchor
     Asus4      Bm     Em     Asus4
Your weight in gold

Bm      Bm            Em
  Your weight on the world
     Asus4
Your weight in gold


Here are the various rhythm patterns played by the guitar as best I am work them out.
D = downstroke
U = upstroke
x = damped stroke


[Pattern 1]
(verse 1 and chorus 1; verse 2; chorus 4 - mixed with pattern 2; the final tag)

|1   2   3   4   |
|D U - U - U - - |
|  x       x     |


[Pattern 2]
(chorus 2a; chorus 4 - mixed with pattern 1)

|1   2   3   4   |
|D U - U D U - D |
|  x       x     |


[Pattern 3]
(chorus 2b, through to the start of verse 3)

|Bm              |Em              |     
|1   2   3   4   |1   2   3   4   |
|D U - U D U - - |D U - U D U - - |
|hand     on  an |anchor...       |

|Asus4           |Bm              |
|1   2   3   4   |1   2   3   4   |
|D U - U D U - - |D U - U D U - - |

|Bm              |    Em          |Asus4
|1   2   3   4   |1   2   3   4   |1   2   3   4   |
|D - - U - - D - |- U D - D - - - |D               |
|x     x     x   |    x           |
|                |        ...your |weight...


[Pattern 4]
(verse 3, chorus 3)

|1   2   3   4   |
|D U - U D - D - |
|  x     x   x   |