The word "assignings" can have a few synonyms depending on the context. These can include designations, appointments, allocutions, distributions or assignments. All of these words imply some kind of task or responsibility given to someone, or the act of allocating something to someone. For example, "the assignings of tasks in the office went smoothly" could be replaced with "the designations of tasks in the office went smoothly". Similarly, "his assignings of duties to his team members were fair" could be replaced with "his appointments of duties to his team members were fair". Ultimately, the choice of synonym will depend on the specific context in which the word "assignings" is being used.