Cool, simple song by Eels. I went looking for the chords and the only version I 
could find was only slightly accurate, but in completely the wrong key. Play this 
along to the song (and make sure your guitar is tuned!) and you should have no trouble. Have fun!

Intro:
A D x4

Verse:
A (x02220@1)     D (xx0232@1)A (x02220@1)         DMy (xx0232@1)beloved monster and me

A (x02220@1)     D (xx0232@1)      A (x02220@1)       DWe (xx0232@1)go everywhere together

A (x02220@1)       D (xx0232@1)      A (x02220@1)           DWearing (xx0232@1)a raincoat that has four sleeves

A (x02220@1)     D (xx0232@1)                     A (x02220@1)      DGets (xx0232@1)us through all kinds of weather

Chorus:
E (022100@1)                               DShe (xx0232@1)will always be the only thing

E (022100@1)                                        DThat (xx0232@1)comes between me and the awful sting

E (022100@1)                         D(hit (xx0232@1)once)
That comes from living in a world that's so damn

A (x02220@1)   Dmean (xx0232@1)
AD

Verse:
A (x02220@1)     D (xx0232@1)A (x02220@1)        DMy (xx0232@1)beloved monster is tough

A (x02220@1)          D (xx0232@1)      A (x02220@1)         DIf (xx0232@1)she wants she will disrobe you

A (x02220@1)        D (xx0232@1)     A (x02220@1)        DBut (xx0232@1)if you lay her down for a kiss

A (x02220@1)        D (xx0232@1)            A (x02220@1)     DHer (xx0232@1)little heart it could explode

Chorus:
E (022100@1)                               DShe (xx0232@1)will always be the only thing

E (022100@1)                                        DThat (xx0232@1)comes between me and the awful sting

E (022100@1)                         D(hit (xx0232@1)once)
That comes from living in a world that's so damn

AD

A (x02220@1)D...mean (xx0232@1)
A (x02220@1)         Dla (xx0232@1)la la la la la la la la         x2

A D (strum once, hold)

Alternative:
[Capo 2]
A = G
D = C((add9)(if you want))
E = D