I love growing new plants from cuttings. It appeals to my twin desires to save money and beautify my environment with lots and lots of plants. I have a couple of Copper Canyon Daisy bushes growing along our back fence that started out as cuttings. After a couple of years, they're as big and bushy as the original plant they came from.
Recently, I started a few new cuttings, including some Copper Canyon Daisies, White Sage and a variety of succulent whose name I don't know. I just take some clippings from a plant, place each one in an empty jelly or olive jar full of water and sit them in a sunny windowsill. Easy-peasy. A couple of them rooted up quite quickly, so I planted them in pots this morning.
The White Sage takes a bit longer to grow roots. I've only successfully grown one of those. I think the woodier the stem, the more difficult it is to grow the plant from a cutting. For a gardening geek like me, it's kind of fun to experiment and see what plants I can manage to coax a root from. I'll let you know how it goes with the rest of my current cuttings.
Not to encourage any questionable activity, but growing from cuttings can also be a good way to get a new plant from one you like in your neighbor's yard. You just break off a small stem from a big, healthy bush while you're, say, walking by with your dog. Pop it in your jar of water, and pretty soon you've got a tiny version of their lovely plant--for free!