To be pulled; to be arrested by a police officer. To have a pull is to have an advantage; generally where a person has some superiority at a game of chance or skill.
Definition taken from The 1811 Dictionary of the Vulgar Tongue, originally by Francis Grose.
Pully Hawly * PumpNathan Bailey's 1736 Dictionary of canting and thieving slang
John S. Farmer's collection of canting songs and slang rhymes