Stogeys are long, thick cigars.
Stogeys are often associated with older people or people in positions of power.
Examples:
He smoked a stogeys after dinner.
The boss always has a stogeys in his mouth.
She bought a box of stogeys for her grandfather.
The smell of stogeys filled the room.
In old movies, the rich man always has a stogeys.
The stogeys was as long as his arm.