Labor leader Rebecca White late on Wednesday released a statement which in part read like a shot at former party leader David O'Byrne.
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When asked whether the statement, which described how she had felt uncomfortable about recent events regarding a sexual harassment complaint against Mr O'Byrne, was directed at him, she declined to comment.
An investigation this week cleared Mr O'Byrne of allegations of harassment and victimisation against a junior union employee when he was a state union head.
The complaint was made to the Labor Party this year by Rachel Midson who said Mr O'Byrne had sent her unwanted lewd and sexually suggestive text messages and kissed her twice without consent in 2007.
Investigator Barbara Deegan found the behaviour had occurred in a consensual and flirtatious atmosphere.
Mrs Midson on Monday said she had felt disrespected and unfairly treated during the investigation.
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Ms White it was concerning to see how distressed people had been with their experience in the investigation.
"I feel deeply uncomfortable about the events of the past few days and the pain that has been caused to individuals, the Labor Party and the broader community," she said.
"I understand that these processes can be traumatic but we must do our best to support people so that they do not come out feeling worse."
Ms White said she would encourage education programs which addressed workplace health and safety obligations, respectful workplace culture, and responses to serious incidents in the workplace for all members of Parliament be included in a parliamentary practices review.
"I want to make clear that this statement is not a reflection on the outcome of the most recent investigation, the actions of the state secretary of the Labor Party or the investigator, Barbara Deegan, who have followed Labor Party policy at all times," she said.
"But it is imperative that the Labor Party sets a clear tone for how we want people to treat each other and that we support everyone to be safe."
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State party secretary Stuart Benson on Thursday said he rejected Mrs Midson's claims that the investigation had been fraudulent.
"The Tasmanian Labor Party takes any complaint about bullying, harassment or victimisation very seriously," he said.
"As is appropriate and again in line with the party's policy, Ms Deegan's investigation was conducted at arm's length from myself and others within the party."
Earlier in the day, Engender Equality chief executive Alina Thomas said there needed to be independent mechanisms for accountability beyond workplaces to deal with harassment claims.
"We have an increased expectation that when these things happen that there will be some kind of recourse for the accused person, that there is some kind of recognition that there has been misconduct, but also that there are prevention mechanisms put in place so it doesn't happen again," she said.
"We have fallen back into that old pattern of pretty much being too discrete about the process so that in the future victim survivors will think 'what is the point of coming forward?'
"Without victim survivors having that recourse, or that accessible way to come forward, then the behaviour continues to be protected."