I think you're confused -- 1Password is a local client, with no online component run by 1Password (well, by Agile Bits, the makers of 1Password). They have good clients for OSX and iOS, and kind of shitty clients for Android and Windows (IIRC).

1Password does have some sync functionality between devices, using third-party services (dropbox, iCloud) and LAN-local using wifi. Or you could otherwise copy your own encrypted password database between machines.