Kevin Nisbet gave Millwall a deserved lead, but Clarke scored his tenth goal of the season with 12 minutes left to play.
Boss. Mowbray said: "I thought we dominated the game, probably from start to finish apart from the last ten minutes after we scored.
"You would expect us to be like the Alamo and go and get the winner, but it was the other way really.
"We don't look like we are going to score a goal and yet we can control the game. I think they had isolated breakaways, it is what they can do and it is ok.
"I think we dominated for long spells without looking like we were going to score.
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