Not long after the warning appears it disengages LKAS, and the car basically starts drifting. A slight nudge of the wheel reactivates it and you can go another twenty seconds or whatever.
I don't it all that often, and only when no other cars are around, but it is interesting to see the capabilities as well as limitations of the system. The warning seems to occur mainly when the car is centered and going straight for a period of time. I have found that I am much less likely to get the warning while the car is actively steering, for example when in a slight curve.
On a slight curve without hands on the wheel it will usually keep the car centered in the lane through the curve, and it usually pulls out of the turn okay by itself, although sometimes it's a little late straightening out and you wind up on the far side of the lane, but then it brings it back to center. On stronger curves you can tell right away that it's not going to be able to keep it centered, and as you drift outwards you usually either get a warning about putting your hands on the wheel or the road departure warning. After trying it a few times you get an idea of what type of curves it can handle.
On the curves that it does "support" it rarely gives the warning during the curve, usually only after it comes out of the curve and goes straight for a few seconds do I get the hands on wheel warning. On a road with slight back and forth curves and only short stretches of straight road before the next curve starts, I have gone as long as a minute hands free before it gives a warning. In the rare case that it deactivates during a curve, it's not sudden and it's not like the car just starts going straight, you have plenty of time to take over, especially since this only works on gentle curves anyway.
There are times when it simply "fails" i.e you start drifting to the side and it becomes apparent that it doesn't see the line, so you have to take over even though it didn't give a warning. Plenty of time to catch it before it goes past the line, but that's why I never do this if there are cars beside me. And a good reason to never become inattentive since you cannot rely on it 100%.
There is a company that makes add-on hardware which basically makes the Clarity self driving. It uses the existing turn motors and the radar. From the YouTube videos that I have seen it does a far better job of keeping the car centered than the existing system. And it will handle somewhat sharper curves than the existing system. It also disables the timeout. But it has a camera pointed at the driver and it disconnects if you take your eyes off the road for more than a few seconds. It does not use the existing camera for the lane keeping but uses its own camera, which looks sort of like a smartphone and you mount it where you would a dashcam. I'm not sure if it does dual duty as a dashcam however, but don't see why it wouldn't. Costs a little over $1,000 last time I checked. Only problem is Clarity isn't officially supported because our car has a non-standard CAN bus arrangement (used for communication between devices). But there is a value added vendor, apparently somewhat connected with the main company, that sells a version modified for the Clarity.