State not fancied by many (5)
I believe the answer is:
realm
'state' is the definition.
(realm is a kind of state)
'not fancied by many' is the wordplay.
'not fancied' becomes 'real' (I've seen this in other clues).
'by' means one lot of letters go next to another.
'many' becomes 'm'.
'real'+'m'='REALM'
(Other definitions for realm that I've seen before include "Royal domain" , "region" , "Land under a king or queen" , "Country" , "World" .)