The official was at the centre of another row on Saturday after he awarded a late, match-winning penalty as Fulham beat Blackburn 3-2. Earlier, he denied the hosts two key decisions.
Having been in the spotlight over his soft treatment of Wayne Rooney's illegal elbow against Wigan last week, Clattenburg failed to penalise Rovers midfielder Steven Nzonzi for elbowing Damien Duff in the head when the Fulham midfielder was through.
Card shark: Blackburn players surround Mark Clattenburg after final whistle
But it was the penalty decision and the sending-off of Blackburn defender Gael Givet for protesting after the final whistle which led Kean to open the debate on Clattenburg's future.
Asked whether Clattenburg should be taken off the Premier League list temporarily, the Blackburn boss said: 'Yeah. I think probably they could take a look at that because it gets to the stage where you have a number of big decisions to make and you are increasingly under the spotlight. I don't know if that's an option or whether it would mean when he comes back that the pressure is only worse. It is a tough decision, isn't it?'
Kean, who ran to confront Clattenburg about the penalty call at the final whistle, added: 'I didn't even know that Givet had been sent off at that point. Mark explained later that he had run at him in an aggressive manner. I'd like to think that referees could look at their decisions and say to themselves 'That wasn't right', but they have a tough job to do.'
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