Can CIF charge you for items for which you didn’t sign?

If you signed for it, even in error you own it. You can plead your case during a Flipl but it doesn't sound good for the home team.

If CIF or Supply has a signature that is "YOUR SIGNATURE" you are on the hook. There are two ways you can go about this, Get a copy of what they have you signed for then pack up everything you are legally signed for and see what you are missing. In my day we did some horse trading to make up losses or went to the pawn shop to "PURCHASE" used replacement gear. I have paid for hundreds of dollars of gear over the years and have also taken care of troops who were missing gear by supplying them with extra inspection gear we had on hand. I HIGHLY Recommend not turning in anything you are not signed ofr and never walk away with out a signed receipt. Uncle Sam lost MILLIONS in un accountable gears since 9/11 at the RFI sites. I know troops who have retired or ETS's that still have gear that they will never sell or throw away while they wait for a bill from Uncle Sam when a long lost signed receipt shows up.

PROVISO: DO NOT SELL GOVT EQUIPMENT PERIOD, that will bite you in the ass, trading excess to someone in your unit that has a spare is a little different.

Unfortunately if they can show your signature there's not a whole lot you can do. If they're doin you dirty you can just sell the stuff they don't have a signature for to pay for the stuff they're screwing you on.