Order hot items for starters and a cherry pudding (9)
I believe the answer is:
'order' is the definition.
(hierarchy is a kind of order)
'hot items for starters and a cherry pudding' is the wordplay.
'for starters' indicates taking the first letters.
'and' is a charade indicator (letters next to each other).
'pudding' indicates anagramming the letters (a mixture or pudding of the letters).
The first letters of 'hot items' is 'hi'.
'acherry' is an anagram of 'erarchy'.
(Other definitions for hierarchy that I've seen before include "System with layers of grades of authority" , "Governing levels of organisation" , "Pecking order" , "priesthood" , "System with grades of authority ranking one above another" .)