A mop construction comprises an elongate shaft (3) and a mop head (4) arranged on a first end of the shaft, wherein the mop head has a clamp mechanism (103). A discardable substantially rigid cleaning member (50) is selectively engageable by the clamp mechanism (34, 35) and an operating arrangement (9) for opening and closing the clamp mechanism is provided to allow the cleaning member (50) to automatically separate from and couple to the clamp mechanism (22) respectively.