"Famiclone" is a term specifically used to refer to pirated hardware, not cartridges. For NES/Famicom I think the only available dumper out there is called CopyNES, and it's something you have to build yourself or something. I'm not entirely clear. There's no widely available dumper for Famicom cartridges though, because games all use different type of mappers, which makes things difficult.
Best thing to do in the case of Famicom unless you think you'll be dumping LOTS of stuff is to just send it to someone like CaH4e3 or kevtris.