Cuttings of ivy root really easily - sharp (horticultural) sand and compost mix, cuttings taken in spring or summer, preferably left in a cold frame.
Don't, though, take cuttings from the top of a mature ivy - ivy is peculiar in that cuttings taken from mature parts will result in a freestanding bush rather than a climber.
I've never tried it, but I do wonder if it would root if left in a bottle of water on a windowsill.

It will Bamboo...Took me two years to get rid of mine here. The very same plant has resurfaced in my neighbours garden and is peeping back over the wall at me.