TypeError: get() got multiple values for argument 'task_id'
Your get function is wrong. The reason you get the error message is that there aren't enough parameters for the function since it expects a request parameter as well.
Since there's 1 parameter short, the error message occurs because it tries to cramp both request and task_id into the task_id parameter, hence the "multiple values" part of the error message.
This should do the trick.
class TaskStatus(APIView): def get(self, request, task_id): return Response({ 'result': Huey.result(task_id) })