We do not have this feature and have not got any request like this before. So we do not have any plan to implement such feature right now.
You may take a email-subscription plugin and hook that with particular user. So that you can get a widget and place it on the shop page.
So your custom plugin will look for new posts and mail that to the respective subscribers.
Yes, we never let go an idea of our customer. I already have logged your idea to the list and as this thread is public and all the Dokan customer has received a mail about your topic, they will vote here if they want it too.
If we get enough request for any feature, we sure include that in our plugins. Each of the ideas of customer is really important to us 🙂