Rise attributable to cardinal (8)
I believe the answer is:
eminence
'cardinal' is the definition.
(I've seen this before)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for eminence that I've seen before include "State of distinction, like cardinal" , "Position of higher distinction" , "A Cardinal's title" , "Distinction - high ground" , "famous person" .)