Abridged book (cut from end) not having brilliant cover (4) = MATT
abridged = deletion, book = MATTHEW
One letter from MP set up classical concert (4) = PROM
one letter from MP = M OR P, set up = reverse
From motorway to no avail, I moved vehicle (7) = MINIVAN
motorway = MI, to no avail = IN VAIN, I moved = move the I!