It seems that Apple made it impossible for after sales Verizon iPhone 4S to be unlocked, while there are several sites that says they unlock Verizon IMEI (including mine), the reality is that all Verizon IMEI unlocking services is currently unavailable due to Apple closing all the third-party Verizon reseller accounts that allows Verizon phones to be unlocked in Apple's database, so currently everyone who paid the service is on the long waiting-list until such time that Apple enable the account for unlocking. So I have a handful of angry customers which have demanded a refund, which I did refunded.

AFAIK, there is no currently working Verizon IMEI unlocking service for iPhone 4S out there, iPhone 5 is not on the list because as you may know Verizon iPhone 5 is unlocked by default.