I love the photos!!
Bev your Aeonium is really nice! JoJoe, personally I would wait until spring to trim anything, I'm really glad you figured out what was going on, the plants will probably respond pretty quickly to the watering!!
In answer to your question though - yes, if you cut off the tops it'll grow new rosettes, I've had them grow from different leaves, and I've had them just from the tip - not sure what the difference is but I usually don't care!! You're doing great!