Staff Disparaging Comments About Employer or Funder

Recently, a page at the library made some comments that were less than flattering about how the local town was handling a new subdivision. The town supervisor came to me (we are an association library and not part of the town government) and asked if our personnel handbook had any language about social media use. He shared that the town personnel handbook had a clause about not disparaging the town when you are an employee. Our handbook does not have specific language on this matter, instead stating that “Appropriate use of the Internet, email and social media is expected.” (There are more clauses about how and when to use the libraries social media, but this seems to be the only line about personal social media)

He and I discussed the matter further and he made a suggestion that the library should look in to whether or not a non-disparagement clause should be part of our social media policy. I got the impression he further thinks that should apply to our major funders (mostly, the town).

How, if at all, should libraries handle personal social media use by employees, especially in regards to usage that might disparage the library or the town that funds us?