An elastic laminate capable of being rolled for storage and unwound from a roll when needed for use, includes an elastic layer selected from the group consisting of an array of continuous filament strands, an array of continuous filament strands with meltblown deposited on the continuous filament strands, and a film; a gatherable facing layer bonded to only one side of the elastic layer; and either an adhesive that demonstrates a relatively short open time deposited between the elastic layer and facing layer, or such adhesive and a postbonding adhesive or nonblocking agent, or a nonblocking agent layer deposited on the elastic layer on a side opposite to the facing layer.