Here's a word that I believe belongs to the vocabulary of upstarts: publically.
To start with, I shouldn't call it a word, for it is not one. It is a figment of imagination — usually, those of upstarts.
The (correct) word, as we all know, is publicly. Meaning, by/of the public (e.g. publicly owned company), or in front of the public or in full glare of the public (He publicly apologised for his misdemeanour).
I found this on NDTV (Suspended Pak CJ addresses rally; March 28, 2007):
Pakistan's suspended chief justice Iftikar Chaudhury has spoken publically for the first time since President Musharraf suspended him about three weeks ago.
A search on Google News yielded only two instances of this non-existent word in the last one month.
The Times of India (Buddhadeb faces politburo test; March 16, 2007) had one: