Exemplary embodiments of method and apparatus are provided for damaging and/or removing portions of subcutaneous fatty tissue while leaving the overlying dermal layer of the skin substantially undamaged. A hollow needle (120) can be provided that include an arrangement (130) within the lumen configured to retain or damage portions of fatty tissue that enter the lumen. Properties of the needle can be selected such that the needle can be inserted into skin and pass through the dermal layer, allowing fatty tissue (210) to enter the distal portion of the lumen as it is advanced further, and then leaving the dermis undamaged when withdrawn. Such exemplary apparatus can include such a needle, a reciprocating arrangement to mechanically advance and withdraw the needle, and/or a vibrating arrangement.