WEBSep 20, 2010 · Free flu shot clinic in Lexington set for Oct. 3. John McGary. , September 24, 2024. The Lexington-Fayette County Health Department will hold a free flu shot clinic at Fayette Mall Thursday, October 3rd. Spokesman Kevin Hall says at least 500 doses will be available, and while sign-ups aren’t required, they are recommended.