If the outside unit is a heat pump, and you are requesting heat then yes it should be turning unless it is in a defrost mode.
Also, you make have your fan inside set to ON instead of AUTO. In that case the fan inside the house will run continuously circulating the air even if you are not requesting heat (or cooling).
Also, you make have your fan inside set to ON instead of AUTO. In that case the fan inside the house will run continuously circulating the air even if you are not requesting heat (or cooling).