A bottom hole assembly for engaging and removing an object within a wellbore comprises a cutting tool at a lower end. Continued engagement of the cutting tool with the object is facilitated by an axial compression device disposed within the bottom hole assembly below the anchor of the bottom hole assembly. The axial compression device comprises a compressed position and an expanded or extended position. As the object is being cut or abraded, the axial compression device moves from the compressed position toward the expanded position so that a continued downward force is transferred to the object by the bottom hole assembly.