Book; ice (7)
I believe the answer is:
reserve
This clue is a double definition.
'book' is the first definition.
(as in booking or reserving in advance)
'ice' is the second definition.
(both can mean coldness or aloofness)
(Other definitions for reserve that I've seen before include "left on the bench?" , "Book - spare player" , "cool" , "Reticence" , "Secure" .)