Hi Feliz-LA,
Congrats on your oath letter!!
I got the same N-652 today, passed English/Civic test, but Background Check pending. I know it's not my name check ot FP, because I got many times confirmed that my name check and FP has been cleared by different IOs. I asked the interview officer what kind of check that was, she said that's something they will run this week, I wonder what that could be.
Did you get recommand approval right away? Mine is "decision can not be made", feel a little disppointed, but after that long waiting, I didn't feel that annoyed.
I am thinking i got "fbi pending" at interview because my case wasn't straightforward (and first case was denied) so it needed some kind of review by superviser before approval. Or may be some officers like to review it extra time before deciding, who knows.