I have used this route a lot over the last 20 years and it is popular with people who walk to/from Easton as well as with cyclists. When the Highways Agency designed the original A34/M3 junction they tried to save money by not having a proper junction. Having a roundabout between the A34, a major north south trunk road, and the M3 is just plain stupid. Now they want to try and "fix" the junction and remove the pedestrian/cyclist access over the M3, which is also pretty cretinous. Sadly they have done this sort of thing before. There used to be a canal going south from Winchester (the Itchen Navigation) until the Highways Agency decided to save money by putting it into a culvert when they built the M3 around Winchester.
Getting rid of this cycle/pedestrian route would be yet another short-sighted decision by the Highways Agency that must be opposed.
If you want to check out the route watch this Youtube clip:
View: http://www.youtube.com/watch?v=wIPsGu9_eYU
No bodies were found during the making of this video...