There is an iPhone app named iListen. It is made by Pxing Game Studio and according to them it will tell you whether you have musical talent or are tone deaf. In addition it may help train your musical memory and improve your concentration.
I have never heard of ilisten. I am super geeky with this stuff too. You can pick from a bevy of other speech recog applications though. Such as: Vocalla, Dragon Dictation, SoundHound, or Vlingo. I would highly suggest against the purchase of the iphone simply because of the fact it is pointless for a phone to do other things.
No, that application is not available on any iPhone or iPod. It is designed by MacSpeech for the Apple Macintosh. There is a Listen application which tells the song name of you current playing song.
There is no application officially named iListen, but if you're referencing a music recognition application, there are two different apps that can lend a hand, one of which is called Listen, the other is called Shazam.