That's not an unknown houseplant. Its very common in cultivation.
Its Crassula muscosa (formerly known as Crassula lycopodioides), at one time
commonly called "Watch chain plant".
http://www.cactuscenter.com/r_18.html
It does bloom but the flowers are rather small and inconspicuous but have a
foetid odor.
I can't believe the really bad guesses that others have made that aren't
even remotely close.
daecc wrote in message
om...
My grandmother gave me a start of a plant several years ago, but never
knew what it was. It is small, doesn't have leaves, doesn't bloom,
and slowly spreads on its own. To make a new plant, just cut a few 1"
pieces off and stick them in soil.
I took some pictures to help identify it:
http://www.dnecentral.com/djw/tmp/plant1.JPG
http://www.dnecentral.com/djw/tmp/plant2.JPG
http://www.dnecentral.com/djw/tmp/plant3.JPG
Thanks!