KAREN NELSON MOORE, Circuit Judge. Like many municipalities, the Village of St. Bernard (“Village”) regulates billboards and other signs displayed within the Village limits. Norton Outdoor Advertising (“Norton”) has operated billboards within the Village for decades. The Village recently revoked one of Norton’s permits, however, after Norton constructed two variable-message signs. The relevant Village ordinance regulates signs based principally on whether what is being advertised is located on or off the premises of the sign. Under controlling Supreme Court precedent, this is a permissible, content-neutral means of regulation. But the Village’s ordinance also has an exemption that functions beyond this on- and off-premises dichotomy. And that exemption is content based. Accordingly, the Village ordinance must satisfy strict scrutiny. Because the Village ordinance is not narrowly tailored to fulfill a compelling interest, it cannot stand as written. The parties and the district court, however, have yet to consider whether the unconstitutional provision is severable. Accordingly, we REVERSE the district court’s judgment and REMAND for proceedings consistent with this opinion.