Rent, maybe, from Greek character is put back by western US state (7)
I believe the answer is:
musical
'rent maybe' is the definition.
'musical' can be an answer for 'rent' (Rent is a musical). I'm unsure of the 'maybe' bit.
'greek character is put back by western us state' is the wordplay.
'greek character' becomes 'mu' (letter from the Greek alphabet).
'put back' shows that the letters should be reversed in order.
'by' means one lot of letters go next to another.
'western us state' becomes 'Cal' (short for California).
'is' reversed gives 'si'.
'mu'+'si'+'cal'='MUSICAL'
'from' acts as a link.
Can you help me to learn more?
(Other definitions for musical that I've seen before include "Eg, Cats or Evita" , "Cats maybe" , "Oklahoma, say" , "Form of theatre" , "Eg, Les Miserables" .)