S.C. Code Ann. § 47-5-210: Power of political subdivisions to prohibit pets running at large and impose additional control measures.

Nothing in this chapter may be construed to limit the power of any political subdivision within the State to prohibit pets from running at large, whether or not they have been inoculated as provided in this chapter; this chapter may not be construed to limit the power of any political subdivision to regulate and control further and to enforce other and additional measures for the restriction and control of rabies.