Bite-sized food partly makes us hiccup (5)
I believe the answer is:
sushi
'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 "Japanese cold rice dish" , "put away in Japan" , "Japanese cuisine" , "Japanese rice and raw fish dish" , "Rice, seafood cuisine" .)