### Clue: Fragments of diner menu found in handbag (9)
### Answer: UNDERMINE 
 ### Explanation: Definition: handbag
 **Anagram of**(Fragments of) DINER MENU.
I'm not sure of the equivalency between definition and answer. One is to attack and weaken forcefully and ruthlessly, and the other is to do the same but gradually or insidiously.