Your false aralia is considered difficult to propagate. The right time to try is the spring, just as the growing season begins for your plant. For best results, apply rooting hormone to your stem cutting and use bottom heat. Try to keep the cutting warm and humid until new growth appears in a couple of weeks.

It sounds as if you might be in a "nothing to lose by trying" situation with your neglected plant. If you can wait until the spring, do. If the plant is unlikely to survive that long, you could try cuttings but success is not likely.

Courtesy of NYBG Plant Information