(big nod to whitebrice for coming out of lurking with some quality contributions to the forums in general and this thread in particular...I had to go looking for that Dream Parade single as well as pE's follow-up)
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As the creator of this forum, I think that some creative leeway "Idlwild" to "Billy Idol" was clever. So I think you can go from Television to T.V.
Part of the fun of the game is being a little bit creative or clever, as long as it doesn't amount to cheating or screwing up the game. I was thinking of going from your entry to "Radio Radio" by Elvis Costello, but I think that kind of thematic link is stretching it, because at a certain point one person's thematic link won't make sense to the next person, and the game falls apart. My view is there should be some link between the letters or sounds of the entries -- so Television to TV is okay, but not Television to Radio.