Mysterious about the eyes, artist's admitted (8)
I believe the answer is:
oracular
'mysterious' is the definition.
Both the definition and answer are adjectives. Maybe there's a link between them I don't understand?
'the eyes artist's admitted' is the wordplay.
'the eyes' becomes 'ocular' (I can't justify this - if you can you should give a lot more credence to this answer).
'artist' becomes 'ra' (Royal Academician, member of Royal Academy of Arts).
'admitted' is an insertion indicator.
'ocular' enclosing 'ra' is 'ORACULAR'.
'about' acts as a link.
Can you help me to learn more?
(Other definitions for oracular that I've seen before include "Prophetically ambiguous" , "Wise and prophetic" , "To do with advice or prophecy as from ancient Greeks" , "claiming authority" , "Spoken in the manner of divine announcements" .)