quick
deft

give (sth)
The fish gave a quick flick of its tail.

with a flick
flick of
With a flick of his wrist he removed the ash from the end of his cigarette.

at the flick of a switch
Heat is available at the flick of a switch (= instantly).

casually
nervously
quickly
away, back

across
His tongue flicked nervously across dry lips.

from
He casually flicked away some dust from his jacket.

off
She flicked the ash off her cigarette.

over
His eyes flicked quickly over the screen.

flick sth open
She snatched up her briefcase and flicked it open.

absent-mindedly, casually, idly
She flicked idly through a magazine.

quickly

Flick is used with these nouns as the subject:
eye, gaze, tongue

Flick is used with these nouns as the object:
ash, cigarette, ear, hair, lighter, switch, tail, thumb, whip