Bite-sized food partly makes us hiccup (5)
I believe the answer is:
'bite-sized food' is the definition.
(I've seen this in another clue)
'partly makes us hiccup' is the wordplay.
'partly' says the answer is hidden in the clue.
'SUSHI' can be found hidden inside 'makes us hiccup'.
(Other definitions for sushi that I've seen before include "oriental dish", "Japanese cuisine", "Japanese rice-based dish", "Rice and raw fish wrapped in seaweed", "Asian food".)