Not leave time to visit state (4)
I believe the answer is:
Here is my best explanation:
'not leave' is the definition.
'time to visit state' is the subsidiary indication.
'time' becomes 't'.
'to visit' means one lot of letters goes inside another.
'state' becomes 'say' (say is a kind of state**).
't' placed inside 'say' is 'stay'.
(Other definitions for stay that I've seen before include "Remain; suspend", "Remain; corset part", "remain in the same place", "Don't go!", "Remain; guy", "Guy rope", "lodge", "Postpone", "Put off - visit" and "Supporting rod".)