What Can I Do?
As stated, Nvidia has not issued a recall of any sort, and it appears that laptop manufacturers have followed suit by not recalling any products using 8-series GPUs. All laptop companies involved have, of course, kept their word regarding products normally under warranty, but products outside of warranty haven't officially been give any particular protection. Because there is no recall, there is only so much that the consumer can do, as the lack of a recall essentially means that while a problem is acknowledged, it isn't considered severe enough to give consumers extraordinary compensation.
Dell and HP are the only companies that have come up with any form of solution, and their solution comes in the form of a BIOs update. It can be downloaded from Dell's Direct2Dell from Dell computers and from the HP warranty website for HP computers. It has been theorized that heat triggers the failures in the defective GPUs, and that keeping those GPUs cooler may make them last longer. The BIOS updates seem to confirm that. They change the way the system fans operate in order to increase airflow over the GPU, prolonging its life at the expense of being louder. The BIOS updates will not help systems which are already showing symptoms of a failing GPU.
Unfortunately, the lack of solutions, driver updates, or recalls for this issue means that anyone with a currently defective GPU is effectively out of luck. Contacting the customer service line of your laptop's manufacturer can't hurt, but they are not required to make repairs or refunds. If you have a 8-series GPU but have not seen symptoms, it is highly recommended that preventive actions be taken. Although only Dell or HP have made BIOS updates, users of other laptops may be able to prevent failure by reducing GPU use or by attempting to make fan speed modifications with third-party fan control software. A more daring solution, for those still under warranty, might be to get some free 3D benchmarking software and run it for an extended period of time (overnight). Pushing the GPU hard for a long time could reveal a heat related weakness. But without knowing what is wrong with the chips or having seen cases proving this would work, we can't recommend it.