TKD further says that {-be'} "follows the concept being negated". If I take this literally, I could probably use it nine times one a verb with nine sufixes:
{jIghelbe'choHbe'laHbe'taHbe'} "I am not continously not able to not change not asking"
What context would prompt you to form a verb like this? Even with your explanation, no matter how often I read the word (well, about 8 times so far), I still get lost by the end.
Multiple negation becomes confusing very quickly (in any language, I expect).
But even if we find out it's definitely ungrammatical, using multiple -qu' for added emphasis seems like one of those intentional violations Klingons use for effect. I could say something like be'nalwI' SoS pI'qu'qu'! (Actually this statement is very false, but I was thinking of an old joke.)