Neat is a synonym of correct.
As adjectives the difference between neat and correct
is that
neat is clean, tidy; free from dirt or impurities while
correct is free from error; true; the state of having an affirmed truth.
As a noun neat
is (archaic) a bull or cow or
neat can be an artificial intelligence researcher who believes that solutions should be elegant, clear and provably correct compare scruffy.
As a verb correct is
to make something that was not valid become right to remove error.