Numerous coronavirus surface survival studies have come out over the past few weeks. There are a number of factors that come into play in determining the virus' viability when it comes to surfaces including things like surface type and environmental conditions. Studies of the SARS virus from 2005 indicated that even with a higher virally-loaded droplet, cotton and paper material made the virus inactive relatively swiftly. It can be assumed that the novel coronavirus will behave the same way, so it is unlikely to survive very long on your clothing fabric.