"quite neat" is correct and usable in written English.
You can use it to indicate that something is well-organized and pleasing to the eye. For example, "The way she had arranged the room was quite neat."
He's quite neat — very organised, in fact".
Her room was quite neat, and quite empty.
"This abundance of chaos – is this your Eden?" he asks, even though it all looks quite neat: the film has effectively given up on its own theme already.
Lots of features that are hidden under the hood, they would mumble the Windows Media format is pretty clever and wasn't the talking paper clip quite neat?
"Northumbrian dancing is quite neat and precise with almost no upper-body movement – almost like Irish dancing – whereas the Lancastrian style is more flamboyant".
It's quite neat, though the borders of the device screen (which you need to contact to make the swipe count) are really surprisingly wide, which subtracts from the screen, and the desire it to swipe the screen, not the border.
And while he frames his cooperation with Pelosi in terms of his hope to spotlight the struggles and dignity of the female prisoners he counsels, his agenda doesn't seem quite that neat, clean and selfless.
It's not quite that neat, though.
Actually, the parallel is not quite so neat.
The house isn't quite as neat when he's in charge of it.
It's not quite so neat as that, as individual producers have their own ambitions.
