Awesome song from Light Grenades. I think this is pretty close, but am open to other ideas.

(Intro)
Figure 1 Play 1X
e---------------77-|
B------------------|
G----7--7-9--9-----|
D-999-9999999999---|
A------------------|
E------------------|

(Verse)              (Verse End)
Figure 2 4X          Figure 3 1X
e---------------77   ---------------7-|let ring
B-----------------   -----------------|
G-7--7--7-9--9----   -7--7--7-9--9----|
D-99999999999999--   -99999999999999--|
A-----------------   -----------------|
E-----------------   -----------------|
"You and/ I are/ Like oil and Water/ And we've been..."

(Verse and Chorus)
Figure 4 3X   Figure 5 1X  Figure 4 2X  Figure 6 Play 1X
e--------7--  -------10-  -------7--   -7--7--7-----10--|
B-----8---8-  -----8----  -----8--8-   -----------8---8-|
G--9-9-9----  --9-9-9---  --9-9-8---   --10-10-9-9-9----|
D-9-9-------  -9-9------  -9-9------   -----------------|
A-----------  ----------  ----------   -----------------|
E-----------  ----------  ----------   -----------------|
"...trying,/  trying,/    trying,/     oh,/to mix it up"

Verse (Figure 3 this time) 6X
"We've been/dancing/on a volcano/and we've been..."

(Chorus)
Figure 7 1X
e-7--3--7--3--7--3--------|  *You can use power chords
B-9--5--9--5--9--5--8---3-|  *Here as well, but these
G-9--5--9--5--9--5--10--5-|  *chords are more more complete
D-9--5--9--5--9--5--10--5-|
A-7--3--7--3--7--3--8---3-|  *Here a second guitar comes in
E-7--3--7--3--7--3--8---3-|  *and plays figures 4 thru 6
 8x 8x 8x 8x 8x 8x 7x 8x    *as a counter-melody

"crying,/crying,/crying,/oh oh/over blackened souls"

(Post-Chorus)
Figure 8 1X
e--------- ------ ------ -----------------|
B--------- ------ ------ -----------------|
G--slower- -slow -slow-- -faster----------|
D-5-7-9-3- 7-9-2- 7-9-1- -3-5-7-8-5-8-7-5-|
A--------- ------ ------ -----------------|
E--------- ------ ------ -----------------|
"Babe, This/Wouldn't be the first time/
Will not be the last time/
There is no parasol/ that can shelter this weather"

Verse (Figure 3 4X)
"I've been/ smiling/ with anchors on my shoulders/
but I've been..."

Chorus (Guitar 1 Figure 4(3X),5(1X),4(2X),6(1X)and Guitar 2 Figure 7 1X)
"dying/ dying/ dy/ing/ ohh,ohh,ohh/ to let them go"

Post-Chorus (Figure 8 2X)
"Babe, This/ Wouldn't be the first time/
It will not be the last time/
There is no parasol/ that can shelter this weather/
Babe, This/ Wouldn't be the first time/
It will not be the last time/
We were trying to believe/ everything would/
get better!"

(Bridge)
Figure 9  1X
e------------------|
B------------------|
G-12--11--10--7----|
D-12--11--10--7--3-|
A-10--9---8---5--3-|
E-10--9---8---5--1-|
(16X 16X 16X 8X 8X)

Verse (Figure 3 4X clean, then 4X light distortion) and...

Figure 10 (1X In background, during clean verse)
e---------  ---------|
B-9-8-6-5-  -9-8-6-5-|
G-8-7-5-4-  -9-8-6-5-|
D-9-8-6-5-  -9-8-6-5-|
A---------  ---------|
E---------  ---------|
"We been/ lying/ to each other/Hey! Babe!/

Chorus (Guitar 1 plays figures 4-6, Guitar 2 plays Figure 7 1X)
"Let's just/ Call it/ Call it/ ohhh/ what it is!/

(Ending)
Figure 11
e--- ---------- ---------- ---------- ----------|
B--- ---------- ---------- ---------- ----------|
G--- ---------- ---------- ---------- ----------|
D-5- -7-9-10-5- -7-9-10-5- -7-9-10-5- -7-9-10-5-|
A--- ---------- ---------- ---------- ----------|
E--- ---------- ---------- ---------- ----------|
"Oil and Water!/Oil and Water!/Oil and Water!"