I know some institutions that retain a log of OFAC searches. We are lucky here in that our IT Dept. actually implemented an in-house system where by we check it on our intranet and there is an audit report that is created showing what you checked, who checked it, date, time, etc. I can get you in touch with our IT Dept. if you want to discuss it further.
The opinions expressed are mine and do not necessarily reflect those of my employer