Probably not - Tennessee does not have a state income tax on wages (or most other income such as pensions, investment gains, etc.) but they do have a flat tax that applies to income earned from interest and dividends.
This tax does not apply to the first $1,250 of income reported on each individual return or the first $2,500 of joint income reported on a jointly filed return. Any person 65 years of age or older having a total annual income below specific limits is completely exempt from the tax.
See Exemptions and Deductions for the income limits
If you are subject to this tax, the necessary form is available through the TN state tax interview in TurboTax,
