Run right away with some meat in a natural state (5)
I believe the answer is:
uncut
'a natural state' is the definition.
'run right away with some meat' is the wordplay.
'right' becomes 'r' (common abbreviation).
'away' suggests deleting specific letters.
'with' is a charade indicator (letters next to each other).
'some meat' becomes 'cut' (cut is a kind of meat).
'run' with 'r' taken away is 'un'.
'un'+'cut'='UNCUT'
'in' acts as a link.
(Other definitions for uncut that I've seen before include "State of raw diamond before processing" , "Retaining full length" , "Not edited" , "(Like a book) with pages not trimmed" , "State of raw unprocessed diamond" .)