WE are using the SharePoint online version.
I have the org chart web part on two different pages on the same site using two separate lists.
On page name A it is using List A
On Page name B it is using list B.
If you open page A and then open page B it shows the data from list A.
Basically, it shows the information from the first list you visit until you say clear cache in the setting on the web part. We cannot expect sure to clear the cache each time they go to the web part.