If you're looking for synonyms for the phrase "are damp," there are several words and phrases that can convey a similar meaning. For instance, the words "moist," "wet," and "dank" all describe objects or environments that are slightly wet. "Humid" also pertains to a moist atmosphere, while "clammy" conveys a more unpleasant kind of dampness. "Soggy" and "waterlogged" are apt synonyms when referring to a surface that is completely water-soaked. Regardless of which synonym you use, each conveys a sense of moisture or dampness that can be helpful in describing everything from clothing to the weather.