The shortening of the word is most commonly used in Twitter where character counts are limited to only 140 per tweet. In this case, 'Ora' is usually followed by a persons username to bring a tweet to their attention as in saying "Yo, you hear that?" Or "Look, they're talking about you".
Just a phrase said by the United States Marinecore, which, I believe, should now replace the words 'sweet', 'cool', and my personal disgust, 'totally'.
Shenanigans McGee: Ora! I just love those adorable Gilmore girls!