When you are in Global and get a chat in Clan. Switching tab doesn't scroll you down to see the latest msg. Same the other way too.
Basically, going back between them should place you at the bottom of that chat. At least I would prefer it that way :)
EDIT: also
https://www.warzone.com/Clans/Create add clan chat ;)
Edited 1/13/2019 21:04:43