Fewer chips will consume less power and run cooler. That's about it. As explained above, they're able to use fewer chips because they're using a small process (etching smaller transistors on the silicon) to fit more memory into a single chip. The smaller process requires less power per GB as a side-benefit.
It's usually not that big a deal in desktops (where a stick of RAM will draw only 3-5 Watts). Although it might be a small concern if this is going to be a HTPC or server left on 24/7. (Will cost you a few bucks more in electricity every year.)
It's a bigger deal on laptops, where a stick of RAM will draw 1-2 Watts. The entire laptop requires only about 5-8 Watts in light use, so even a 0.5 Watt difference translates into a...