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1.
Gumgum means that if you are dumbdumb, then you MUST have the gumgum

From the movie:

A Night at the Museum with main actor Ben Stiller and statute of Teddy Roosevelt

In the movie: The Statute of Teddy Roosevelt asks Larry Daley (the dumbdumb) for some gum gum.

Obviously, dumbdumb means mentally retarded, slow or just plain stupid. So if you fit this discription, you might want to stop chewing gum to hide your true identity.
Hey dumbdumb, you got any gumgum?
by JUbie & Kito December 06, 2007
 
2.
word for girl who doesnt like "babe" asians like to be called gumgum by hot white guys. Preferably Romanian.
Dont call me babe, its cliche.
OK, ill call you gumgum.
by jackiejackbear July 14, 2010
 
3.
when you run full blast and take a poo
oh man did you see him gum gum down the road
by Howdy nut nut November 08, 2004