The instant invention relates to the novel soybean variety designated 0008079. Provided by the invention are the seeds, plants and derivatives of the soybean variety 0008079. Also provided by the invention are tissue cultures of the soybean variety 0008079 and the plants regenerated therefrom. Still further provided by the invention are methods for producing soybean plants by crossing the soybean variety 0008079 with itself or another soybean variety and plants produced by such methods.