Mod was great while it worked but if you really want the watch and don't want to do any work for it (Knocking out the guy at the dance hall), download MSC editor, open your DefaultES2File and set wristwatchowned to true, then save, done.
Not sure if this is still being updated but would it be possible to hide the shadow? I find every now and then I have to bring up the watch and then put it away to hide it.