I was able to go to the ubuntu software center before and remove it and now it doesn't show up since the switch to the gnome software store. Trying the terminal method of removing the shopping lens doesn't work in this release.
Ubuntu – How to remove the Unity Amazon package in 16.04
unity-webapps-commonpackage removes Amazon from the dash. Since the Amazon webapp is part of that package, you can't just remove the Amazon portion (well, short of editing the source code). This is a problem when other programs (like Unity Tweak Tool) depend on that package.
As noted by fitojb in this answer to another question, however, this command will prevent the Amazon icon from showing up in the dash:
However, as dobey pointed out in a comment below, when the
unity-webapps-commonpackage updates the file will be replaced and the command will have to be run again. A more permanent method is to copy the .desktop file to your local applications directory and then add a line to the file to prevent it from showing up in the dash: