Cutting. Flick me some panam and caffan; cut me some bread and cheese. Flick the peter; cut off the cloak-bag, or portmanteau.
Definition taken from The 1811 Dictionary of the Vulgar Tongue, originally by Francis Grose.
See also the definition in Nathan Bailey's 1736 dictionary of canting and thieving slang.
Flickering * To FlingNathan Bailey's 1736 Dictionary of canting and thieving slang
John S. Farmer's collection of canting songs and slang rhymes