Important or famous (9)
I believe the answer is:
prominent
I believe this is a double definition.
'important' is the first definition.
(I've seen this before)
'famous' is the second definition.
(I've seen this before)
(Other definitions for prominent that I've seen before include "Important, famous" , "Projecting; famous" , "Conspicuous in position or importance" , "Standing out" , "Important; protuberant" .)