Keith Vaz, chairman of the Home Affairs Select Committee, says he has called Lincolnshire's Police and Crime Commissioner to question him over events which have happened over the last few months.
Alan Hardwick suspended Neil Rhodes, temporary Chief Constable of Lincolnshire Police, over "potential conduct matters".
Mr Rhodes returned to work after winning a High Court ruling against his suspension.
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Yorkshire Ripper Peter Sutcliffe is no longer mentally ill and should be returned to prison, psychiatrists have said.