This may be tricky to fix since there’s no error message or anything else that could help identify the cause. Could you perhaps click the “Save Changes” button and then just leave the tab open in the background for 30 minutes to see if anything else happens?
When did this problem first appear? Was it immediately after installing the plugin (i.e. the plugin never worked properly), or did it start happening after installing another plugin, or an after an update, or when you changed certain settings?
Usually I would also recommend checking the PHP error log for fatal errors, but if there’s some script that keeps running forever, it might not actually log anything. It might still be worth a look.