the Jamaican Patios equivalent to saying someone has a fat penis / thick cock. It means they have a lot of girth and is usually used by women, effeminate gays and transsexuals in a positive light since the width and girth of a fat cock provides a lot of pleasure as it fills their pussy and ass.
Fag Hag Amelia Sewell: I miss fat cocky resting in between my jaw and stretching my pussy

Chadwick Blissett: So true girl, my bootyhole feels so empty without fat cocky stuffing it. thankfully when i go to prison they'll be plenty of cocky there to fuck my fat booty.

Karla Mendez: The fat cocky I was taking in my sextape filled my little cunt up so much, i felt so stuffed and stretched.
by DuanCulo aka Duante Amorculo January 4, 2015
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