An IRS summons should spur any bank to perform enhanced due diligence on the customer. If you find suspicious activity, you file a SAR. If you don't, you write a memo to file explaining that you looked, but you didn't find anything.
Since you refer to this person as a "customer," I assume you have an account in the name of the now defunct entity. When a bank has a contract (loan or a deposit) with a legal entity that no longer exists, it should begin the process of either aggressively requiring the entity to be reinstated or terminate the relationship.
_________________________
In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.