The brushhead includes a brushhead base member and at least one outer ring of bristles mounted thereto, the brush base member being non-oscillating. An inner assembly is adapted to capture a solid, semi-solid, gel or the like non-Newtonian balm element having shear thinning characteristics. In an embodiment, the inner assembly is adapted to receive energy from an oscillating action of the inner assembly produced by a motor in the appliance to which the brushhead is attachable. Oscillation of the inner portion at a selected frequency and amplitude results in the solid, semi-solid, gel or the like balm element changing to a liquid in a shear thinning effect, the liquid being useful for removal of makeup.