That's actually a big debate happening in the kosher community.

On one hand, you don't need to do things like check every organ for signs of illness. As long as the vat doesn't get infected with something, it's good. You also don't need to drain blood from the resulting meat since it doesn't have any.

On the other hand, if you take a cell from a living animal, is the whole mass in the vat considered a living creature? If so, eating from it might not be allowed (eating flesh from a live animal is forbidden). The lack of any kind of slaughter process could either mean they want harvested meat is fine or none of it is.

There will likely be rabbis ruling both ways for awhile before any consensus emerges. If any ever does. (Judaism is very decentralized and consensus is often difficult to impossible.)