Praise the guts of fiery boxer, beating stout fellows (5)
I believe the answer is:
extol
'praise' is the definition.
(I know that extol is a is a more specific form of the action praise)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for extol that I've seen before include "Praise - honour" , "Praise with enthusiasm" , "Warmly approve of" , "Crack up" , "celebrate" .)