We have an open fire in which we tend to burn waste wood.
While a proper wood burner has the advantage of being more efficient, we can put larger pieces onto our fire, as its open. The odd bit that won't quite fit in can stick out, and we feed it in as it burns down.
Not ideal, but saves more sawing.
My sister has a back boiler to her open fire, which saves her money.
Grand Designs often show wood burners with the metal chimney section inside the house heating the room as it goes up to the roof. This seems a more sensible idea than sending it up a brick chimney, but of course not practical to most of us who have a traditional British house.