The Control List no longer exists. Technically, it was never a legal requirement. Although it certainly did not appear that it was something your bank could simply refuse to do, compliance was not required by law.
Thus, if you decide to keep records of your searches, what records you keep and how long you keep them is purely up to you.
_________________________
In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.