HB 2521: As introduced, revises various provisions governing the prohibition or restriction of weapons at meetings or on property owned by a private or government entity, including eliminating the prohibitions a local government can place on possession of a handgun in certain locations such as libraries, child care agencies, buildings containing a law enforcement agency, and facilities that administer a Head Start program; removes the limitation of the concealed carry restriction to only persons with an enhanced handgun carry permit; makes other related changes. – Amends TCA Title 39.

Read the text. 

And I have forgotten before: IANAL WARNING!

To put it in a very simple way, the way I see it, it puts the onus of being a Gun Free Zone on the owners/managers wanting their locations to be Gun Free Zones. You are asked to leave or secure your weapon outside if you are caught armed in a GFZ and at most, you are hit with a $50 fine for being ornery and refusing the first time (Don’t, just leave). Governments must provide withplaces to secure the weapons at no cost (like this very much) under the care of a LEO. There are some other stuff that seems OK to me, but I await your input.