Device for packaging and applying a substance, the device including a receptacle for containing the substance, an applicator member, and a wiper member secured to the receptacle to wipe the applicator member as the applicator member leaves the receptacle. The wiper member includes at least one undulating wiper lip with a radially inner free edge defining the orifice through which the applicator member passes. The undulations of the wiper lip enabling the wiper lip to deploy under thrust from the applicator member.