Singer carried by mad elephant (5)
I believe the answer is:
adele
'singer' is the definition.
(Adele is a singer)
'carried by mad elephant' is the wordplay.
'carried by' indicates a hidden word.
'ADELE' is hidden in the letters of 'mad elephant'.
(Other definitions for adele that I've seen before include "Popular female singer" , "Female singer from London" , "girl" , "Singer with albums titled 19, 21 and 25" , "Female English singer-songwriter, b. 1988" .)