Respecting the minimum size requirements is indeed important, and supervision as well, of course.
The Syrian hamster I had was happy in his ball for about 20 minutes at a time. At about the 30 minute point, he got tired of it, and then he and the ball didn't move around any more.
I'm a big believer in stopping an activity before it ceases to be fun. So, you have to get to know your hamster and find out what's right for him. Once you know his pattern, it will be easier to get a feel for how many minutes are fun for him or her.
It's hard to predict how long he'll be in the ball before he pees or poops. So, choose the surface carefully where you will let him run in his ball. If you don't have any bare floor, perhaps you could get a refrigerator box and cut it up, and then lay down a big piece of cardboard to protect the carpet.
After use, the ball can be washed on the inside with dish soap and warm water.
Make sure you give your hamster other types of adventures besides the ball only. For example, I made a cardboard playpen with zigzagging cardboard sections taped together. It's fun to put a nice wide cardboard tube on the floor inside the pen, put a sunflower seed inside the tube, and then watch the adventure unfold.
With a young hamster, I suggest starting out with very short trial runs. Make sure the room is warm and not drafty. Choose a time when there's not much commotion, and you'll be able to supervise.
When adopting a hamster, wait until his natural curiosity is bringing him out of his nest, showing an interest in his environment. This would take between 3 days and a week, typically (for Syrian).