at 18 a tubular absorbent liner 20 insertably carried within the sheath 18 an adjustably sized strap or band indicated generally at 22 supported adjacent the open end of sheath end and an auxiliary pouch 24 carried by the strap 22 and thus supported on the exterior of the sheath 18 the sheath or cover 18 preferably comprises a molded product consisting of a round open at one end and closed at the other cylindrical tube and provided with diametrically opposed loops 32 adjacent the open end as defined by lip or bead 30 lip 30 defining a mouth m for reception of the pipe stem 14 the sheath 18 is preferably formed of a non porous material such as rubber being provided with the flexibility needed to accommodate the inserted tobacco pipe cigar or cigarette holder and permitting the wall of the sheath to be compressed radially to frictionally fit the sheath to the stem 14 of the pipe the annular wall of the sheath 18 is of ample thickness to give support to and assist the strap 22 to provide a firm liquid seal about the circumference of the pipe stem 14 during use the lower end 28 of the sheath 18 is rounded and closed while its opposite end is open as provided by lip or bead 30 the bead or lip 30 additionally serves the purpose to firmly hold a connector 56 fig4 associated with the removable absorbent liner 20 the molded tubular resilient sheath 18 may have integrally molded diametrically opposed loops 32 adjacent.