Hint that's very personal (8)
I believe the answer is:
intimate
I believe this clue is a double definition.
'hint' is the first definition.
(I know that intimate is a more specific form of the action hint)
'very personal' is the second definition.
(I've seen this in another clue)
'that's' acts as a link.
(Other definitions for intimate that I've seen before include "Close acquaintance" , "pal" , "Give hint to close friend?" , "state" , "Hint to a familiar friend" .)