Helix with a helix as its axis
According to this journal article, we may call it a doubly-twisted helix or generally a multiply-twisted helix.
For a light bulb the wire is called a "coiled coil filament" in this Wikipedia article.
The German word is "Doppelwendel" (roughly translated: double screw).
I don't believe there is a standard term. Nevertheless, MathWorld calls the resulting curve a "slinky".
Of course, one can have a "slinky" of a "slinky":