Prince recalled a cheering cry in a fix (8)
I believe the answer is:
maharaja
'prince' is the definition.
(maharaja is a kind of prince)
'recalled a cheering cry in a fix' is the wordplay.
'recalled' says the letters should be written in reverse.
'cheering cry' becomes 'rah' (rah is a triumphant cry).
'in' indicates putting letters inside.
'fix' becomes 'jam' (synonyms).
'a'+'rah'='arah'
'a'+'jam'='ajam'
'arah' put within 'ajam' is 'ajaraham'.
'ajaraham' backwards is 'MAHARAJA'.
(Other definitions for maharaja that I've seen before include "Indian ruler" , "Indian prince or king" , "Eminent Indian" , "Hindu prince" , "foreign ruler" .)