The process by which wet clothes dry up is called as:
Evaporation
When wet clothes are dried, the water molecules on the surface break away from the force of attraction of other particles and get converted into vapour. Thus water molecules are converted into vapours. This process is called evaporation. Evaporation is the process that turns the liquid (water) in the clothes into a vapour (gas). Therefore, evaporation is the process by which wet clothes dry up.