Witnesses claim the radio DJ flew into a rage after gossip columnist Zoe Griffin said her fiancé, Luke Worrall, was stupid.
Griffin is said to have taunted Osbourne, 24, that Worrall, 19, did not know what an earthquake was.
Griffin said: 'Kelly shouted loudly in my ear, "I have an issue with you. Everyone has been laughing at my boyfriend."
A Met spokesman said: 'We can confirm a 24-year-old woman attended a central London police by appointment on 2 January.
'She was arrested for common assault relating to an alleged incident in Soho in the early hours of 29 August 2008.'
“She has been bailed until a date in March.”