Dogged attention to fallout from a number of fallacious claims (9)
I believe the answer is:
tenacious
'dogged' is the definition.
(I know that dogged can be written as tenacious)
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for tenacious that I've seen before include "Keeping a firm hold" , "refusing to give up" , "Persistent in holding on" , "Holding fast" , "Determined" .)