brief

catch, hear, overhear
We caught snatches of conversation from the room next door.

hum, sing
He was humming a snatch of a song from ‘Cabaret’.

in snatches
She learned to sleep in brief snatches.

a snatch of conversation, a snatch of dialogue, a snatch of music, a snatch of song

almost
quickly
away, back, up
She snatched her hand back.
She leaped to her feet, snatching up her bag.

try to
Someone tried to snatch her purse.

at
He snatched at her arm as she walked past.

from
She almost snatched the letter from my hand.

out of
I snatched it out of his hands.

Snatch is used with these nouns as the subject:
robber, thief

Snatch is used with these nouns as the object:
bag, draw, handbag, purse, sleep, toy, victory