The edit button never shows up in consumer mode. It should be possible to have it show up, but probably as a config variable since you may not always want that.
When clicked it should take you to Special:EditLexicon on the producer wiki. Hopefully just linking should be enough to do the Oauth login when required.
If possible there should be a messages explaining that you need to have permissions to edit lexicon. The standard "access denied" may be enough, but it would be good if you could tell the user where to ask for permission.
