dampness
A slight, uncomfortable wetness that makes things feel not dry.
Dampness is a slight wetness, that uncomfortable in-between state where something isn't soaking wet but isn't dry either. When you pull a towel from the dryer too early, it has that clammy dampness that makes you want to toss it back in. When you walk through morning grass and your shoes pick up moisture, that's dampness seeping through.
The word captures the presence of moisture along with something unpleasant or unwanted. A basement might have a musty dampness that makes everything feel colder and less inviting. Dampness in walls can cause mold or make paint peel. Even on a person, dampness suggests discomfort, like when your shirt has that sticky dampness after playing hard outside on a humid day.
You'll often hear dampness paired with cold: cold and damp days in autumn or winter feel more miserable than dry cold days because the moisture seems to make the chill sink deeper. While water itself can be refreshing, dampness rarely is. It's that lingering, unwelcome moisture that makes you wish things would either get properly wet or finally dry out.