It sounds like your air conditioner may be too big. While it seems this might be a good thing, it's not. Air conditioners that are too big don't run long enough to take moisture out of the air inside your house. As a result, they waste energy and leave you feeling cold and clammy, not to mention increase the risk that you could develop a mold problem.To eliminate this air conditioner dampness problem, we'd suggest contacting a local heating and cooling company to have your house sized for the proper size air conditioner. As a rough rule of thumb, you generally need one ton of A/C power for every 600 - 800 square feet of living space.Another option is to consider installing a whole house dehumidifier. Aprilaire makes one that will remove up to 90 pints of water a day from the air inside your home. Unlike room dehumidifiers that have to constantly be emptied, whole home dehumidifiers are installed into your heating and cooling ductwork and run automatically.One benefit of whole home dehumidification is comfort. With all the moisture out of the air, you won't need to run your central air conditioner nearly as much, your air conditioner dampness probelm will be solved, and you'll save some money in the long run.