I've transited through AMS in the morning (this is usually when the international rush hour starts).
1 hour is very tight, the problem is that even if you were to leave and arrive on time, there are lots of other flights arriving at this window (due to noise abatement and other restrictions, there are very limited number of landing slots available to airlines from 2200-0600, thus the morning rush hour starts from 6 AM); and so the queue to pass immigration for intra-schengen flights can get very long easily taking up the majority of that one hour.
However, AMS staff is very helpful and will move you to a priority lane if you are at risk of missing your flight due to the queue length. Keep and eye and ear out for your flight being called.
The next problem is the weather especially fog. In the winter this can be a problem and cause a chain reaction of delays; so that even if you are at your gate on time, the incoming aircraft is delayed. Not really an issue if you are at your final leg - after all, eventually you'll end up in Geneva the only issue is you'll arrive later.
The problem comes that now the airport is very crowded with people who have missed their connection so everything becomes an issue - finding a place to sit, for example. The bathroom queue. Trying to get a snack will be an issue unless you like to stand and eat.