The way you clean your wood walls or wood paneling depends completely on the type of finish (if any).
If the wood is sealed with a polyurethane, you can wash it down with soap and water and marks or dirt should wash off with no trouble. You should be able to tell if it is finished by checking for a shine or coating.
If the wood is unfinished, you will only be able to dry wipe it or vacuum it. You may want to consider finishing the wood to make future cleanings easier.