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1.
A large, often excessive amount of pennies, so that there are so many pennies that you attempt to make up for the large amounts of pocket change by contracting the words "plenty" and "pennies."
Friend 1: Hey all I have is a dollar and with tax this costs $1.08. Does anybody have any change?
Friend 2: Of course, I have plennies, would you like some?
by metallicanroses December 11, 2007
 
2.
A word used as slang for "plenty" or "plenty good"
meh, its plenny
by Anonymous August 20, 2003