As adjectives the difference between fusty and damp
is that
fusty is moldy or musty while
damp is being in a state between dry and wet; moderately wet; moist.
As a noun damp is
moisture; humidity; dampness.
As a verb damp is
to dampen; to render damp; to moisten; to make humid, or moderately wet; as, to damp cloth.
As an abbreviation DAMP is
Deficits in
Attention,
Motor coordination and
Perception.