Craving a little quiet inside (8)
I believe the answer is:
appetite
'craving' is the definition.
(I know that appetite is a type of craving)
'a little quiet inside' is the wordplay.
'little' becomes 'petite' (similar in meaning).
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'inside' means one lot of letters goes inside another.
'petite' enclosing 'p' is 'ppetite'.
'a'+'ppetite'='APPETITE'
(Other definitions for appetite that I've seen before include "Physical need for food" , "enthusiasm" , "A feeling of craving something" , "Desire, inclination" , "Hunger or zeal" .)