Found it on the 'net. This version by Bob Rivers stays much more with the theme:

CHIPMUNKS ROASTING ON AN OPEN FIRE

Chipmunks roasting on an open fire
Hot sauce dripping from their toes
Yuletide squirrels fresh filleted by the choir
They poked hot skewers through their nose
Everybody knows some pepper and a garlic clove
Help to make them seasoned right
Tiny rats with a crisp golden coat
Will really hit the spot tonight

And now when Santa sees his tray
There'll be some homemade chipmunk jerky for his sleigh
And every hungry child is gonna spy
To see if chipmunks really sing when they fry
And so I'm brushing on some honey glaze
To keep them crisp and juicy too
Let's hope they get served many times many ways
Tasty Chipmunks; good food

And so I'm offering some recipes
From chipmunk pie to chipmunk stew
I'm not really sad that it ended this way
Furry chipmunks, screw you


Even found a site where you can listen to it"
Go here