If you use words like 'twonversation', 'tweeple' and 'twargument' on Twitter, you should consider visiting your GP -- you may have caught a terminal disease known as 'Fail'.
The tendency to prefix common words with 'tw', to imply a relationship between the word in question and Twitter, is one that utterly bemuses me. It serves absolutely no purpose. And, as a bonus, it makes you sound like a gimp.
Here's a quick lesson in basic English. On Twitter:
1) A conversation does not become a twonversation
2) An argument does not become a twargument
3) A debate does not become a twebate
4) A whine does not become a twine
5) Making a list does not mean you made a twist
And so forth.
As a tweneral rule of twumb, anyone who uses these twords on a twegular basis gets an unfollowing, because, as you can twee, it makes you twound like a complete twat*.
*This word is formed from, er, 'prat'.