S.C. Code Ann. § 50-11-2460
The following traps are allowed for trapping in accordance with an approved commercial fur license:
(3) foot-hold traps as provided in Section 50-11-2410.
All other traps, including "deadfall" traps, are unlawful unless expressly authorized by the department by regulation.
All traps must bear the owner's name and address either directly thereon or by an attached identification tag.