A container including a neck and an opening, in combination with a tamper-evidencing closure including a top, a depending annular skirt and a tamper-evidencing band frangibly connected to the annular skirt. The container includes a locking surface on the neck spaced from the opening. The tamper-evidencing band includes an inwardly turned retaining rim that extends at least partially upwardly. The retaining rim has a free edge for engagement with the locking surface as the closure is removed from the neck. The retaining rim includes a locking surface engaging structure, most preferably provided by a plurality of outwardly directed flutes spaced circumferentially thereon and a second securing structure located on the retaining rim between the flutes. Drain passageways are provided in the rim to enable draining and/or evaporation of trapped liquid.