Since the question was specifically about AMD equipped Thinkpad Edge, I'll tell my experiences as I have one.
My Thinkpad is Edge 15", type 0302. It's AMD P340 / 2.2Ghz Dual Core, ATI Radeon 4250 graphics (with HDMI), 500Gb, all the bells and whistles one would expect (well, no fingerprint reader or keyboard light). It came with 2Gb RAM that I expanded into 4Gb, since it uses shared memory for graphics and 2Gb is barely adequate for Win7. It has non-glossy screen, hard to find nowadays on consumer grade laptop. Non-glossy is only proper solution for graphical work. This Edge replaced my old Thinkpad t42, it had USB-problems and finally refused to boot because of CPU/mainboard problems. Peacekeepers life is hard even for Thinkpads
There were quite a few reasons I wanted AMD CPU:
- I think AMD makes better CPUs and I don't want to buy Intel because of their questionable business practices
- When you buy AMD CPU, you get real GPU, integrated Intel graphics are terrible, especially for CAD- and gaming use. Having Intel graphics for other than spreadsheet and word processing is like getting punished

- AMD chipset is better than Intel IMO
I use my computer mainly for CAD drawing (MicroStation 8XM) and occasionally for gaming and of course, normal office applications and surfing. So far I have found AMD CPU+ATI GPU to be very powerful combination. I did have some suspicions about shared memory, but they have proven be unwarranted. Shared memory works much better on AMD hardware than on Intel hardware. Non-glossy display is excellent, especially as Edge 15" is middle priced consumer laptop.
Battery (stock one, not extended capacity) seems to last long enough and I mainly use it plugged into outlet. I also like that fact it has 1Gb Ethernet controller, while many other manufacturers have only 100Mb. I copied some movies from my PowerMac G5 to Thinkpad over 1Gb network, it reached over 50 MB/s speed and was continuously over 45MB/s, so harddisk is also fast and it's not even 7200rpm model. WLAN has very good range and speed (using with Cisco 1242G accesspoint).
I had to use Acer laptop little while as interim solution after my Thinkpad t42 broke down, Edge is about same price and has (roughly) same features as Acer, but Edge has much better quality. It has much more rigid body, display and hinges. Keyboard is much better. ThinkVantage management software is excellent.
I'm very satisfied with Thinkpad Edge 15" and it's AMD CPU+GPU

I see no reason to buy Intel equipped, stock configuration is more expensive and Intel graphics is slow and underpowered. Only thing to complain is 2Gb memory, but it's easy and cheap to expand. I'm considering getting the 3G card (it's about 100$ in eBay), but WWAN works over Bluetooth connection with my Motorola ES400 3G phone very well.