An absorbent article having longitudinal cuffs of improved structure is disclosed. The improved cuffs may be elasticized by a plurality of elastic strands that are substantially greater in number, closer in spacing, lower in pre-strain, and lower in decitex, or any combination of these, as compared with those in conventional articles. This combination of features results in ruffles or gathers of cuff material joined to the elastic strands that are substantially greater in machine-direction frequency and substantially lesser in z-direction amplitude, than those in conventional articles. As a result, the cuff structure lies more closely and evenly against the wearer's skin, has an improved, more cloth-like appearance, provides improved gasketing, and provides improved wearer comfort, as compared with cuff structures in conventional articles. A method for manufacturing articles with such cuff structures, utilizing a warp beam as a supply mechanism, is also disclosed.