This is now live with our new production tasks release, specifically the staff rota and labour allocation side 
- Staffing plan. Set who normally does each kind of work, then add staffing plan rules for specific dates, such as someone taking time off or working a different shift. Work on those days goes to whoever is covering.
- Production calendar. Shows each person’s and group’s work day by day, with the staffing plan rules for those dates along the top. Drag a task onto another day or another person to move it.
- Visible to your team. Everyone sees their own work for the day on their production day, including on a phone or tablet.
- Priorities. Production tasks can be marked urgent so they stand out.
Some parts discussed here are not covered yet: a shared diary for events and meetings (although we do have Batch schedule notes), syncing with Google Calendar or tools like Timetastic and RotaCloud, and blocking out maintenance or down days on the batch schedule, which again might be resolved by Batch schedule notes. These ideas were straying from the core part of this request, which makes them hard to manage in a single feature request. If any of these are still something you’re looking for, please open individual feature request for them.
Read more in the announcement, and the details are in Assignment rules and the staffing plan.