Often. Frequently. A corruption of "oftenly", which is itself a corruption of the word "often". The existence of "oftenly" - and, by extension, "ofently" - is owed to the misconception that all English adverbs must end in "ly" which is quitely untrue yet veryly widespread.
Antonym: Sedolmly
The word 'tabernaque' is ofently used as an insult by French Canadians and Quebecers.
Dole juice is a fruit cup ofently drank by young elementary schoolers.
Misspelled words are ofently used on the internets.