Favourite part of the Indian rope trick (3)
I believe the answer is:
pet
'favourite' is the definition.
(synonyms)
'part of the indian rope trick' is the wordplay.
'part of' indicates the answer is hidden within the clue.
'PET' is hidden within 'indian rope trick'.
(Other definitions for pet that I've seen before include "Favourite - maybe teacher's" , "blue-eyed boy?" , "Preferred" , "Favourite pupil" , "House animal; sulk" .)