Attraction of an important person (3,5)
I believe the answer is:
big wheel
This clue is a double definition.
'attraction' is the first definition.
(I know that big wheel is a type of attraction)
'an important person' is the second definition.
(I know that big wheel is a type of important person)
'of' is the link.
(Other definitions for big wheel that I've seen before include "Fairground attraction - VIP" , "Important person - fair attraction" , "Fair experience" , "Fairground ride" , "Amusement as London Eye" .)