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 a hidden word.
'PET' can be found hidden inside '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" .)