Obsession of woman entertaining native of Muscat, possibly (9)
I believe the answer is:
monomania
'obsession of woman' is the definition.
'monomania' can be an answer for 'obsession' (I've seen this before). I'm not certain of the 'of woman' bit.
'entertaining native of muscat possibly' is the wordplay.
'entertaining' means one lot of letters goes inside another.
'native of muscat' becomes 'omani' (I've seen this in another clue).
'possibly' becomes 'mona' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'omani' put into 'mona' is 'MONOMANIA'.
Can you help me to learn more?
(Other definitions for monomania that I've seen before include "Obsession with one thing" , "Single-minded passion" , "Unhealthy preoccupation with one thing" , "obsessive single-mindedness" .)