I'm pretty sure there won't be a new chipset for Zen 3, but I am fairly certain we'll see a refreshed X570. Might not get a new name though. X570 was a dog's dinner of a product; excessive use of PCIe retimers just to maintain signal integrity, the PCH was in-house design based on the Zen 2 IO die and then backported to GloFo 16nm (of all things) because Asmedia couldn't get theirs out in time and still variable in VRM counts and quality. It needs updating, with a couple of upgrades maybe for new tech. Why do I think it'll be refreshed rather than a new chipset?
Zen 3 has improved memory and IF speeds (I think)
B550 was late so is still relatively new
A520 practically just landed
TRX40 boards have massively re-engineered PCIe 4 signalling to not need retimers, so board designers now know how to do it properly
B550 VRMs are monstrous (see engineer knowledge above)
A520 VRMs are surprisingly solid
Asus added USB 3.2 to their refreshed B450 boards
Wrap all of this up and bang out X570X (just to **** off Intel because the 3rd refresh of X299 is X229X
), or maybe X590. Even with these improvements, I don't think there's enough of a change to call it a new chipset.