Tv screen savers staying on

The screensaver will come on after the Apple TV has been idle for a set amount of time. You can press the menu button on the remote to back out of it. You can go into screensaver settings to turn it off or lengthen the time before it comes on.

Please disclose your (old) Apple TV model if you do not find it in the given location.

Identify your Apple TV model - Apple Support

Options may differ on older models.

lengthen the time

You can set the Sleep After setting to any of the six options.

I want to lengthen the time my screen savers stay on, even if I am not using the TV? Is it possible?

Where do I find the sleep after options?

Settings - general - sleep after

Where do you find this "sleep after"?

Please see my response above