Everyone has a different limit when it comes to exercising, including climbing.
When I started, I climbed about 4 times a week for about 4-5 hours each session. At that time, I didn't feel that it was too much since much of that time was spent also resting and planning, looking back now though, I realize that it was way too much, to the point where I injured myself without even knowing it.
Knowing what I know now, if I were a beginner climber, I would climb just 3 times a week, and just for 2-3 hours. I would work on learning how to climb, and building up my strength, fingers, and all the muscles that were not used to climbing and to the different positions and strains it puts on your body.