The phrase "thin jacket" is correct and usable in written English.
You could use this phrase to describe a piece of clothing, for example: "She wore a thin jacket to protect her from the cold."
"He wore a very thin jacket, because image was all.
"How I've waited for you," Lidochka said, touching Lera's thin jacket lovingly.
When December came, she had no winter clothes — only a thin jacket.
Now, shivering in a thin jacket, she decided to move it up to 4 30, which meant rethinking creative decisions.
The birds are, in the words of Dip Unit, fried hard, in a thin jacket of buttermilk-flour batter, and spiked gently with chile heat.
If I give in, it will end my proud tradition of layering heavily under a thin jacket, an act of psychology more than function or fashion.
In this photo, the men in thin jackets are day laborers from Henan Province, looking for work.
Wearing long plastic overalls and thin jackets, they come here to set the day's first net.
They showed up for the climb in thin jackets and baggy jeans, baseball caps and cotton goalkeeper gloves.
After bringing the brothers to the ambulance, they stood around in thin jackets and smoked cigarettes, a moment of reflection after a perilous trip.
By 8 30 p.m., around 400 people, mainly men displaced by the recent political violence, were pulling down their woolen caps and hunching into thin jackets to sit out one of the coldest nights this winter.
