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 of a size number two or smaller for land sets and a size number three or smaller for water sets.
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.