Porcine men rise to pre-eminence (10)
I believe the answer is:
prominence
'eminence' is the definition.
(thesaurus)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for prominence that I've seen before include "Hill" , "Celebrity" , "Thing that stands out" , "Importance; solar eruption" , "Highly visibility or importance" .)