Very simple song, it's the same five chords and the same rhythm throughout the song. The 
second half of the second verse gives me a little trouble as I haven't found a good why 
to do it solo, but experiment and find what sounds good to you.

Standard Tuning, no capo

Intro: F#m Bm E D A x4 (I skip this if I'm playing solo)

Verse 1:
  F#m
I just got in from town
    Bm
The news is all around
E
Push has come to shove
   D            A
At Madam Plum's

The ice's about to break
And the pigs are on the take
And they're marching to the beat
of Madam's drums

The barber he's all smiles
He's from the British Isles
But his razor's sharp as hell
And he knows it well

He's driving to the docks
From an office in the Bronx
He could make your life a living hell

Chorus:
F#m
Run chicken run
Bm
Don't you lose your step
E
The cat got out of the bag
           D               A
You better keep your sense
F#m
Breathe chicken breathe
Bm
Don't you lose your breath
E (strum once)                   D     A
Chickens don't get no life after death

Verse 2:
Down on Baker Street
That's where the women get down
They really move their feet
To the line dance, the Cotton Eyed Joe,
Virginia Rag and the Zydeco

But the girl I came to see
She runs down Baker Street
With a pipe bomb in the long
and windy snow

(Guitar drops out at this part and comes back just before the chorus)
She's a very sensitive lady
She's always at the breaking point
She's always on her guard

She's the fairest of them all
She loves her Adderall
She's kicking out the windows in your car

Chorus:
Run chicken run
The cat got out of the bag
You better keep your sense
Breathe chicken breathe
Don't you lose your breath
Chickens don't get no life after death

Verse 3:
Madeline's mother is all in a panic
Cause her husbands mad and he's a bad mechanic
And he's always sad and manic depressive
And the clothes he wears are torn

Let the brass band play
Let them soothe your blues away
Let the fiddle serenade you
Find a shady place to lay

Chorus:
Run chicken run
Don't you lose your step
The cat got out of the bag
You better keep your sense
Breathe chicken breathe
Don't you loose your breath
Chickens don't get no life after death