Topser Mondal (70) was sitting near the road at Tarapur when he was run over by the vehicle while it was taking a turn. Others sitting with Mondal had managed to move away.
Mondal was rushed to hospital, where he later died, the police said.
Police arrested driver Tinku Mondal and seized the vehicle.
All aspects of the incident are being looked into though it primarily appears to be an accident as it happened within hours of teasing Topser's daughter, police said.
There was a similar incident a few days ago and Topser's family had alleged that Tinku and his friends were drinking in his cropland, the neighbours said.