Get some shut-eye (5)
'get some shut-eye' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for sleep that I've seen before include "Slumber" , "Wayne _; former Royal Ballet principal dancer" , "Be dormant" , "''... that knits up the ravell'd sleeve of care'' (Macbeth)" , "Snooze" .)
(Other definitions for blink that I've seen before include "viewing interruption" , "Bat (eyelid)" , "Brief moment (of hesitation?)" , "Nictate" , "Briefly shut the eyes" .)