Tiny amount of time (6)
I believe the answer is:
minute
This clue is a double definition.
'tiny' is the first definition.
(minute can mean small)
'amount of time' is the second definition.
(unit of time)
(Other definitions for minute that I've seen before include "Small; short time" , "Very small; record" , "Barely perceptible" , "Lilliputian" , "Really very small, like a period of time" .)