### Clue: Imogen's in car, last to leave place of refreshment (9)
### Answer: ESTAMINET 
 ### Explanation: Definition: place of refreshment
 MINE(possessive pronoun self-referencing the setter;Imogen's) **contained in**(in) "estate"(short for an estate car, with a rear door and a large rear carrying space) **minus its last letter**(…, last to leave).
Answer: A small café or bar.