Living within 75 miles of Punxsatawny, PA where the world's most famous "woodchuck" lives, I can honestly tell you that woodchucks are far better at "chucking" soil. A "woodchuck", or groundhog as they are also called, burrow large holes into the ground, creating a series of tunnels. They usually have 2-3 openings, with one main opening being quite large. These openings are often relatively hidden in fields and hillsides where large grasses shroud them from view. These holes are often very dangerous for folks walking around, as legs can fall completely down, causing anything from twisted ankles to broken legs. Dairy and horse farmers often hate them because their livestock can fall in just the same.
So to answer your question....none. Woodchucks don't like wood.
And they are terrible at predicting the end of winter, too....