Yes. This may be advisable at times, as during such dangerous weather, weather alerts may be broadcast live via television. This can help alert people who are in the most immediate danger. However, it is better to get to a safe place, such as your basement. Additionally, if the tornado is headin toward you, there is a good chance you will lose power, making the TV useless.
Metal Tornado - 2011 TV is rated/received certificates of: USA:PG
Tornado Rampage - 2008 TV is rated/received certificates of: Australia:PG
Tornado Valley - 2009 TV is rated/received certificates of: Netherlands:12
Tornado 360 - 2013 TV was released on: USA: 29 April 2013
Tornado Chase '96 - 1996 TV was released on: USA: 1996
Tornado Warning - 2002 TV is rated/received certificates of: Netherlands:16
Tornado Rampage 2011 - 2011 TV was released on: USA: 22 May 2011
NYC Tornado Terror - 2008 TV is rated/received certificates of: Portugal:M/12 Singapore:PG
Tornado Intercept - 2005 TV was released on: USA: 18 December 2005 Japan: 26 April 2006
Mile Wide Tornado Oklahoma Disaster - 2013 TV was released on: USA: 2 June 2013
Copperfield Tornado of Fire - 2001 TV was released on: USA: 3 April 2001 Italy: 25 December 2006
Sweet Tornado Margo Jones and the American Theater - 2006 TV was released on: USA: 2006