Here's what ehow.com had to say about it. I just don't want to use something that will change the color or darken it any.
No Water - Don't use water when cleaning veneer furniture unless you have wet a cloth or sponge and have wrung it out thoroughly before proceeding. Water can lift the veneer and damage the wood underneath, resulting in a useless piece of furniture. Don't saturate wood veneer with liquid cleaning products, as they will essentially do the same thing as water.
Polish - Do treat your veneer furniture with furniture polish designed for real wood products. The oils in the polish will lift most dirt and residue from the wood veneer and clean it away. While the oil will soak into the veneer, it isn't rich enough to penetrate the wood underneath. It won't damage veneer furniture. Don't spray the polish directly onto the veneer furniture. Spray it onto a cleaning cloth instead.
Cleaning Solutions - Create your own homemade cleaning solution for cleaning your veneer furniture. Mix a cup of white vinegar with two cups of water. Pour the mixture into a spray bottle. Don't spray directly onto the veneer furniture. Instead spray a fine mist of the solution onto a cleaning rag and wipe the furniture with it. Be sure to use a clean rag afterward to dry up all of the solution. The diluted vinegar will cut grease and anything that has left a sticky residue without damaging the veneer or the wood underneath."
