There have been a lot of questions about zombie bites on this site. From making it lethal to allowing for an amputation cure. But we have not discussed the primary issue of this line of questioning is its feasibility.
Even assuming that a quick amputation can prevent the zombie infection, there are a plethora of problems that come from even regular amputation; blood infections, mobility issues and anemia to name a few. And that's under modern circumstances, where these problems have real solutions and are unlikely to even appear.
In the end times, the chances of these problems occurring increases and their solutions become much more difficult to deal with. Additionally, new problems arise such as bleeding out or being unable to do post-apocalypse related tasks. For example, someone missing a hand would be unable to open cans or climb ladders quickly, while someone missing a leg would be unable to run.
Considering these problems that exist even with a guarantee of removing infection, would an amputation in the apocalypse be feasible?
To avoid the obvious overbroadness, I will narrow down the situation below. While this may over narrow the answers, the basic point or principle of the answer should apply to over situations.
We are to assume the bite victim is a young man (21-30) and belongs to a small group. They will have some first aid supplies such as hydrogen peroxide and gauze, but lack things like bone-saws or heavy duty antibiotics. The amputation is, of course, rushed and done with an ax. To avoid being overly broad, let's assume that the amputation is indeed a success and the zombie virus is of little concern.