S.D. Codified Laws § 23A-14-29
No witness may be excused on the basis of his privilege against self-incrimination from testifying or providing other information in a proceeding before a court, grand jury, administrative agency, or legislative committee of this state for a civil, criminal, or administrative action whenever the prosecuting attorney or attorney general has granted the witness immunity pursuant to this section or whenever the magistrate or circuit court judge presiding over the proceeding has ordered such testimony. No testimony or other information compelled under an order or a grant of immunity, or any information directly or indirectly derived from such testimony, may be used against the witness in any criminal proceeding, except a prosecution for perjury, giving a false statement, or otherwise failing to comply with the order.
SDCL 23A-14-29