Mythical character with a strange, exhausted call (10)
I believe the answer is:
persephone
'mythical character' is the definition.
The answer and definition can be both people as well as being singular nouns.
Maybe you can see an association between them that I don't see?
'a strange exhausted call' is the wordplay.
'a' becomes 'per' (eg 'one a day' means 'one per day').
'exhausted' says to hollow out the word (remove centre letters) (the word is emptied out or exhausted).
'call' becomes 'phone' (phone can mean to call by telephone).
'strange' with its centre taken out is 'se'.
'per'+'se'+'phone'='PERSEPHONE'
'with' acts as a link.
Can you help me to learn more?
(Other definitions for persephone that I've seen before include "Girl away all winter" , "wife of underground boss" , "#The wife from hell" , "Daughter of Demeter abducted by Pluto" , "Infernal woman" .)