Yes they do and did;
They were cleared of wrong doing in the 2003 hedge fund scandal. Maybe I misinterpreted what was meant by the statement "clean and good". The SEC does not pass judgement on the health of a company, on whether it is in good shape....
but yes, they can clear a company of wrong doing.
But I would note that it generally takes many many years to get to that point and usually a company has to fight to get the SEC to state that an investigation is complete and nothing was found. Normally, they will say nothing, even if they stop. A lot of times it ends up as a "books and records" hand slap and an official "don't break the law again" letter...but that result is almost never in the scale of months....but years.