aghajan
take your best guess, bud! since the BCIS or DHS have not come out with too many explanations on their new security procedures, we are all quite in the dark. i imagine that the FBI name check is either synonymous with, or a subset of, the security check.
as far as adjudication following security clearance is concerned, i think that just might refer to whatever documentary protocol the adjudicating officer would have to follow once the security clearance for a case is received.
of course, if several months have passed since the adjudicating officer last looked at a file, there is nothing preventing them from issuing an employment RFE, or any RFE, for that matter. but one hopes that they, too, feel that there should be an end to the agony, both theirs and ours.