**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
try:
            return self._last_log_messages(1)[0]
        except IndexError:
            return None
    def _check_success_task(self) -> None:
        if not self.client or not self.arn:
            return
        response = self.client.describe_tasks(cluster=self.cluster, tasks=[self.arn])
        self.log.info('ECS Task stopped, check status: %s', response)
        
        for event in self._cloudwatch_log_events():
            event_dt = datetime.fromtimestamp(event['timestamp'] / 1000.0)
            self.log.info("[%s] %s", event_dt.isoformat(), event['message'])
        if len(response.get('failures', [])) > 0:
            raise AirflowException(response)
        for task in response['tasks']:
            
            
            
            
            if re.match(r'Host EC2 \(instance .+?\) (stopped|terminated)\.', task.get('stoppedReason', '')):
                raise AirflowException(
                    'The task was stopped because the host instance terminated: {}'.format(
                        task.get('stoppedReason', '')
                    )
                )
            containers = task['containers']
            for container in containers:
                if container.get('lastStatus') == 'STOPPED' and container['exitCode'] != 0: