Many people like the smell produced by a cedar dresser. The aroma can fill a room and provide a rustic smell to your home. If you are not into the rustic smell, however, and you do not want to smell like a cedar dresser, you can take steps to eliminate the odor from the wood. Although you may never be able to eliminate the smell completely, you can reduce it drastically so it does not permeate your clothing.
Place an open box of baking soda in the back corner of the dresser drawer. The pH in the baking soda will soak up the odor. You can use baking soda for the removal of many odors. Over time, the effectiveness of the baking soda will diminish so you must replace it every couple of months.
Place a few drops of essential oil on the wood inside each drawer. The essential oils will provide a natural perfume smell to your clothing. Place the oil on the top back edge of the drawer to avoid getting oil on your clothing. As with the baking soda, you must repeat the process every few months or sooner, depending on how much essential oil you use.
Brush a polyurethane clear coat inside your drawers. This will permanently block the smell of cedar because the clear coat seals the wood. This will also to prevent the wood from cracking during the dry winter months. Once you add the polyurethane to the wood surface, you will not have to do it again. You can get polyurethane at most home improvement stores and you can brush it on with a regular paint brush.