Clue: Flemming's criminal organisation has secret design to seize power (7)
Answer: SPECTRE
Explanation: Definition: Flemming's criminal organisation
P in SECRET*. SPECTRE – the SPecial Executive for Counter-intelligence, Terrorism, Revenge and Extortion – is the criminal organisation led by Ernst Stavro Blofeld that features in several of the James Bond novels, and rather more of the films. The author is of course Ian Fleming, with one M, not two as in the clue.