Sorry to hear that. If it doesn't sell on here then maybe a pawn shop. I don't know if you would consider eBay but that' s a possibility as well. I'm just an eBay customer and not a seller. My father sells on eBay though. I just stick with this site when it comes to selling things since I know how listia works.
I think you can accept credit or debit cards only and gift cards if you can't accept PayPal. I'm not sure how it works but if it doesn't sell on here then I'd consider a pawn shop. I'm sure you could get a decent amount of cash from the pawn shops. You could probably get $150-$200 or so for this watch even without a battery.
Sorry to hear that. If you can't sell it on here or at a pawn shop maybe donate it. We have a thrift store here that would probably take something like this or you can maybe try Facebook market place if you use Facebook. Craig's list is also another option though you have to be careful when meeting strangers on the internet. Always meet them in public and maybe have someone with you. Me and my parents advertised my 95 LeBaron convertible for sale last year. I had several people respond to my ad on Facebook but dad had some responder's on Craig's list. My parents put a much cheaper price on the car than I would of liked. I think the car was worth at least $1,000.