fine
airborne
radioactive
house, household
desert (esp. AmE)
cosmic, moon
brick (esp. BrE), chalk, coal, gold, etc.
fairy, magic, pixie (esp. AmE)

cloud, layer
The tractor came up the track in a cloud of dust.
There was a layer of fine dust on the table.

particle, speck
Remove any particles of dust on the surface of the paint.
microscopic specks of dust

collect, gather
Her chess set lay on a shelf gathering dust.

be covered in, be covered with
brush, remove, shake, sweep, sweep up, wipe
He brushed the dust off his clothes.
She shook the dust from her hair.

blow
The wind was blowing dust through the streets of the city.

lie
The dust now lay in a thick layer on her piano.

coat sth, cover sth
Dust covered the whole shelf.

settle
The dust settled on everything in the kitchen.
I waited for the dust to settle from her resignation before talking to her about it. (figurative)

blow, float, fly, swirl
Dust swirled around them like a misty cloud.

fall, rise
fill sth
He started coughing as dust filled his lungs.

clear
The dust cleared and Hari could see a tiger.

cloud
grain, mote (old-fashioned), particle
storm
ball, bunny (= a mass of dust and small pieces of hair, thread, etc.)
devil (= a small column of dust over land, caused by the wind)
bowl
mite
a house dust mite

cover (esp. AmE), sheet (BrE) (= for furniture, etc.)
cover (esp. AmE), jacket (= of a book)
mask

Dust is used with these nouns as the object:
furniture