That's funny, I was going to say that East is a bit more rural!
Either way, I agree with the previous poster, both sides are nice and its just what fits your personal preference and in our case where we happened to find the house we liked best.
We live in East Clayton (Archer Lodge area) and love it. We did look in the West Clayton area as well. Ultimately, it came down to 2 houses we liked...the one we're in and one in W. Clayton. The W. Clayton house was fabulous but backed to a main road so we didn't end up choosing it. We also looked in Lee Forest off Guy Road near 70 which we loved but the only avail house there was too close to Guy Rd for us. You cut about 20-25 min off your trip living here, if you commute to RTP or the like.
Its rural here in the E. Clayton/Archer Lodge area and very lush & green. Its nice to pass cows on the way to the store and there is SO much sky. Things I still adore after 2 years living in our home. We are a bit further away from the shopping meccas. To get to the food Lowes, its about 12-15 minutes (that's on route 70) - though they are building one a few minutes drive away at the intersection of 42 and Buffalo Rd. White Oak SC is about 5-10 down 70 where you will find stores like Kohls, Target, Best Buy, Michaels and many more.
We like that we also have a "back way" option to shopping....the same distance away is Knightdale where you can find ANY store you want to shop at.
We can also get to some parts of Raleigh in about 20 minutes going the 64/264 "back way" as I call it. Triangle Town Center (mall) is 25 minutes, and Costco in Raleigh is about 30 min. But we're about 15 minutes to 40, which W. Clayton has the advantage over us...as it intersects with 42 over there and is probably a 5-10 min drive from most SD's.
We're outside city limits so do not pay city taxes (and from what I understand thereby higher utility bill as well). The Archer Lodge area is planning to incorporate so some small taxes will be added but many of us in the community here are looking forward to it (to have local control over growth and other things like our own post office). You can learn more about that at the incorporation site;
Archer Lodge Incorporation Information
I was also a little concerned about the growth in the business/store area in the 40/42 area. With 42 being just 2 lanes (one each way) they will have to be enlarging it or I can imagine it being quite a mess. Especially, with a Super Walmart going in soon. But I think you have more options for shopping there now compared to E. Clayton.
So....there's good things about both places so you'll just have to look and see which fits your needs.

Lauren