A partial female undergarment slidingly attachable to a brassiere for covering a selected portion of a woman's chest or cleavage when an outer garment is worn over the brassiere. The partial undergarment includes a fabric panel that extends horizontally between the straps of the brassiere, and is removably attached to such straps while the outer garment is worn. The undergarment may be selectively positioned along such straps in the vertical position as desired by the woman, whereupon elastic means under tension removably retains the undergarment in the desired position. The lower portion of the undergarment may hang down to engage loose-fitting outerwear when the woman leans forward, such that the upper portion remains substantially adjacent the woman to cover her upper chest while the lower portion engages the outerwear to define an opaque screen obscuring her lower torso.