Abstract: An economical stovepipe cleaning apparatus arrangement comprising a T-shaped stovepipe joint which is connected to two transversely oriented stovepipes of a combustion stove. The joint has an opening with a readily removable cover to be removed for permitting attachment of a bag and brush assembly to the opening of the joint for cleaning. The arrangement provides a fast, convenient and dust-free method of brush-cleaning the stovepipes without a need for any disassembly of the conduiting of the stovepipes.