The following excerpt is from Janusaitis v. Middlebury Volunteer Fire Dept., 607 F.2d 17 (2nd Cir. 1979):
While the problem of overbreadth in the public employment sphere can raise First Amendment questions, See Shelton v. Tucker, 364 U.S. 479, 81 S.Ct. 247, 5 L.Ed.2d 231 (1960), it does not necessarily require the same remedy as overbreadth in criminal statutes . . . . Deterrence of legitimate speech must be minimized by proper application of the prohibition to activity not protected by the First Amendment.
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