A clip and a bioabsorbable marker are employed to mark a biopsy site. The former provides a permanent marker that is clamped onto tissue and that cannot migrate from the site over time. The latter is gradually bioabsorbed over time but the time may vary widely from weeks to months. In most embodiments, the clip and marker are integrally formed with one another at the time of manufacture. In one embodiment, the clip and marker are independently made but are joined to one another during the site-marking process. The markers are deployed by core biopsy needles of the type employing a vacuum, of the type that does not employ a vacuum, and by coaxial biopsy needles.