Broken rope initially appearing in Carmen? (5)
I believe the answer is:
opera
'carmen?' is the definition.
(Carmen is an example)
'broken rope initially appearing' is the wordplay.
'broken' is an anagram indicator.
'initially' indicates taking the first letters.
The initial letter of 'appearing' is 'a'.
'rope' is an anagram of 'oper'.
'oper'+'a'='OPERA'
'in' is the link.
(Other definitions for opera that I've seen before include "Lulu, say" , "Eg, Carmen" , "Music and drama production" , "Carmen, for example" , "Musical play" .)