Little Snitch tells you when a program tries to send info to the internet so you can see what's going on in the background. When TV-Browser tries to download program data for the first time, Little Snitch alerts you with the following dialog:
In order to not get this alert everytime, you have to allow TV-Browser access to port 80. To do this just click on 'forever' and make sure the 'Condition field' is set to 'Same Port' as shown below:
Now just click on the 'Allow Forever' button and you're all set.