Right clicking an assignment brings up the right click menu with further options:
Edit
Edit brings up the quick editor.
Split
Enables split mode. See Splitting assignments.
Transfer
This allows you to transfer the assignment to a placeholder or another person.
Select All To Right
Enables you to select all the assignments to the right (in the future) for a person and drag them across the timeline in bulk.
Enable Multi-Select Mode
Enables you to select multiple assignments for multiple people and drag them across the timeline in bulk.
Delete
Deletes the assignment, including assignment notes.