Composer runs inside, attacked by dog maybe (7)
I believe the answer is:
britten
'composer' is the definition.
(British composer Benjamin Britten)
'runs inside attacked by dog maybe' is the wordplay.
'runs' becomes 'r' (cricket abbreviation).
'inside' means one lot of letters goes inside another.
'attacked by dog maybe' becomes 'bitten' (bitten by a dog).
'r' put inside 'bitten' is 'BRITTEN'.
(Other definitions for britten that I've seen before include "Billy Budd composer" , "English composer, d. 1976" , "British composer associated with Aldeburgh" , "Composer born 1913" , "... 20th-century composer" .)