Collocations for cloak - noun

heavy, thick
hooded
black, dark, etc.
ragged, tattered
velvet, wool, woollen/woolen, etc.

be wrapped in
drape, throw
She threw a heavy cloak over her shoulders.

draw, pull, wrap
He pulled his cloak tightly around himself.

remove, throw off

billow, flow, flutter, fly, sweep, swirl
a flowing black cloak
She stormed off, her cloak flying behind her.