Clue: … one of 26 22 down's daughters, starting to head out of Czech city (2,2)
Answer: DR NO
Explanation: Definition: one of 26 22 down's
A charade of D ('**D**aughters starting') plus [b]RNO ('Czech city') minus its first letter ('head out of'). John Barry was the (uncredited in this film) arranger of the James Bond theme, but not its composer.