I think this is not possible to configure directly, but maybe there is another tricky way to do so.

How can I make some field (custom as well) required only when I change issue status to the dedicated value?

For example, I need to make Due Date required if the issue status is changed from "New" to "Accepted". And if the status is changed from "New" to "Won't fix", of course Due Date is not necessary.

It could be done by adding Field Visibility Scheme on workflow configuration, but as I understood from GEM-2799 it won't be done, or?

Configuring several Issue Types for this case ("New Task", "Accepted Task", "Refused Task" and change issue type instead of status (then I can assign that field visitbility scheme, which I need for each case) is not a good way I think...

Thanks for your help Anton