The police set up barricades to stop them from marching towards Banerjee's residence, which is a short distance away.
The BJP workers, who tried to break the barricades, clashed with the police who chased them wielding lathis.
Police sources said nine persons were arrested in this connection.
Senior BJP leaders, including party's national secretary Rahul Sinha, Rajya Sabha member Roopa Ganguly were present on the spot among others.
Rahul Sinha claimed that they were holding a "peaceful agitation" when the police started the lathicharge.
"There is no democracy in the state," he alleged.
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