Police said the legislators -- Vishnuprasad, Arul Anbarasu and Vijaykumar -- and Congress workers attempted to picket the Poes Garden area, where Jayalalithaa's house was located, without prior permission.
Carrying Congress party flags, they also raised slogans against the AIADMK supremo for her "derogatory" remarks against Singh.
A large number of AIADMK cadre, led by former Minister D Jayakumar, had gathered in the area and resisted the entry of Congressmen resulting in a scuffle between the two groups.
An AIADMK cadre, Kuppan, suffered injuries in the melee.
Condemning Jayalalithaa's reported remarks, the Congressmen also attempted to burn her effigy at Thangasali in Chennai
Police said 148 Congress workers, including a woman, were arrested in different incidents.