A hearing system comprising • a hearing device, and • a programming device, the hearing device comprising ∘ an input transducer for converting an input sound to an electric input signal, and ∘ an output transducer for converting a processed electric signal to an output sound, ∘ a forward path between the input transducer and the output transducer, the forward path comprising a signal processing unit for applying a level and/or frequency dependent gain to a signal of the forward path and providing a processed output signal, the hearing device and the programming device each comprising a programming interface (PI, PD-PI) allowing the exchange of data between the devices, • the programming device is adapted for running fitting software, or a part thereof, allowing signal processing of the hearing device to be adapted, via the programming interface (PI, PD-PI), CHARACTERIZED IN THAT • the programming device comprises a feedback path analyzer for providing an estimate of a feedback path from the output transducer to the input transducer, and • the hearing device comprises respective input (IBUF) and output (OBUF) buffers for storing corresponding input and output time segments of the electric input signal or a signal derived therefrom and of the processed output signal or a signal derived therefrom, respectively, and wherein • the hearing device - in a specific feedback measurement mode - is configured to transmit said stored input and output time segments of the respective signals to the feedback path analyzer of the programming device via said programming interface (PI, PD-PI), and wherein • the feedback path analyzer in said specific feedback measurement mode - is configured to determine said estimate of the feedback path based on said input and output time segments. • a hearing device, and • a programming device, the hearing device comprising ∘ an input transducer for converting an input sound to an electric input signal, and ∘ an output transducer for converting a processed electric signal to an output sound, ∘ a forward path between the input transducer and the output transducer, the forward path comprising a signal processing unit for applying a level and/or frequency dependent gain to a signal of the forward path and providing a processed output signal, the hearing device and the programming device each comprising a programming interface (PI, PD-PI) allowing the exchange of data between the devices, ∘ an input transducer for converting an input sound to an electric input signal, and ∘ an output transducer for converting a processed electric signal to an output sound, ∘ a forward path between the input transducer and the output transducer, the forward path comprising a signal processing unit for applying a level and/or frequency dependent gain to a signal of the forward path and providing a processed output signal, • the programming device is adapted for running fitting software, or a part thereof, allowing signal processing of the hearing device to be adapted, via the programming interface (PI, PD-PI), CHARACTERIZED IN THAT • the programming device comprises a feedback path analyzer for providing an estimate of a feedback path from the output transducer to the input transducer, and • the hearing device comprises respective input (IBUF) and output (OBUF) buffers for storing corresponding input and output time segments of the electric input signal or a signal derived therefrom and of the processed output signal or a signal derived therefrom, respectively, and wherein • the hearing device - in a specific feedback measurement mode - is configured to transmit said stored input and output time segments of the respective signals to the feedback path analyzer of the programming device via said programming interface (PI, PD-PI), and wherein • the feedback path analyzer in said specific feedback measurement mode - is configured to determine said estimate of the feedback path based on said input and output time segments.