"slight hint" is correct and usable in written English.
You can use it when you want to indicate a tiny or subtle suggestion or clue. For example: She gave me a slight hint about her surprise birthday gift.
Do I detect a slight hint of bunny desperation?
A slight hint of danger, but the new attacking Murray v2.0 produces some heavy artillery.
With that slight hint of conciliation, there may yet be hope for some agreement.
There was a slight hint of brighter skies towards the north-east.
The batter is especially good, sweet and crispy with a slight hint of fresh popcorn.
It had no flavor, only a slight hint of the overly sweet liqueur.
But Mr. Edwards did give a slight hint that an endorsement might still be coming.
But what's that slight hint of yellow bleeding into the blue and the peach not far from the center?
When queried about his feel for marketing and public relations, Lamoriello expressed only a slight hint of uncertainty.
"So, have you seen the film?" Maybe I'm paranoid, but there seems to be a slight hint of menace in his tone.
The slight hint of carbon was a perfectly tolerable accident, even if scorched beans never turn out to be the next microwave oven.
