Go without food, being tight (4)
I believe the answer is:
fast
I believe this clue is a double definition.
'go without food' is the first definition.
(I've seen this before)
'tight' is the second definition.
(both can mean secure)
'being' is the link.
(Other definitions for fast that I've seen before include "Of clock, ahead of correct time" , "Quick - abstain from food" , "Go hungry" , "Brisk" , "Lent, perhaps" .)