Look around very fast (6)
I believe the answer is:
starve
'fast' is the definition.
(to fast is to refrain from eating food)
'look around very' is the wordplay.
'look' becomes 'stare' (staring is a kind of looking).
'around' indicates putting letters inside.
'very' becomes 'v' (common abbreviation).
'stare' placed around 'v' is 'STARVE'.
(Other definitions for starve that I've seen before include "Eat nothing" , "Become famished" , "Die of hunger" , "Deprive of food" , "Suffer extreme hunger" .)