MikeG said:You have to remember that the arch is only supporting the triangle of bricks directly above it, not the entire weight of all the brickwork over (see diagram below). It is doing, therefore, a good deal less work than most people think. Also, the weight of the chimney is pushing down on the piers, resisting any outward thrust from the arch. So much so that I reckon this would stand up dry (ie without any mortar) if it weren't subject to weather.
Minkeycat said:. . . . having had a very informative discussion with the lime mortar man who explained it's very good under compression which alleviated a lot of my assumption based fears about the stuff.