**Description**

Currently when `ECSOperator` is run, the logs of the ECS task are fetched only when the task is done. That's not so convenient, especially when the task takes some good amount of time. In order to understand what's happening with the task, I need to go to Cloudwatch and search for the tasks logs. It would be good to have some parallel process that could fetch ECS task logs from Cloudwatch and make them visible in a realtime. 

**Are you willing to submit a PR?**

I can try, but I need to be guided.

airflow/providers/amazon/aws/operators/ecs.py
"""
    Execute a task on AWS ECS (Elastic Container Service)
    .. seealso::
        For more information on how to use this operator, take a look at the guide:
        :ref:`howto/operator:ECSOperator`
    :param task_definition: the task definition name on Elastic Container Service
    :type task_definition: str
    :param cluster: the cluster name on Elastic Container Service
    :type cluster: str
    :param overrides: the same parameter that boto3 will receive (templated):
        https://boto3.amazonaws.com/v1/documentation/api/latest/reference/services/ecs.html#ECS.Client.run_task
    :type overrides: dict
    :param aws_conn_id: connection id of AWS credentials / region name. If None,
        credential boto3 strategy will be used
        (http://boto3.readthedocs.io/en/latest/guide/configuration.html).
    :type aws_conn_id: str
    :param region_name: region name to use in AWS Hook.