There won't be what? Just because a joint is accessible doesn't mean it won't leak. And the liner-fluepipe joint is above the register plate so is not readily accessible.
I'm intending to fit a flexible chimney liner and stove. I've read many articicles but one thing puzzles me. All the articles say or infer that the brick chimney is sealed - sealed at top by closing plate and bottom by registry plate. But what happens if say the joint between the flue pipe and liner...