There is a big difference in damp and soaking, nearly as large as the difference between hot and on fire.

There was a bit of misty fog out this morning, but only enough to make my clothes feel a little damp when I came back inside.

Unless you are someone that sweats buckets, you will likely only be damp after a moderate workout.

It is recommended that you use a damp towel when wiping a CD rather than a soaking one, since you just want to get dust off of it.

I didn’t have a duster in the closet, so I simply used a damp paper towel to wipe the dust off of the furniture in the living room.