### Clue: Back up writer embracing student out in the open (6)
### Answer: PUBLIC 
 ### Explanation: Definition: out in the open
 **Reversal of**(Back) "up" + BIC(a writer/an implement for writing, specifically a disposable ballpoint pen made by French company, Societe Bic S.A.) **containing**(embracing) L(for "learner" on a plate displayed by a student driver).