So it would be convenient if pending members could be "claimed," just as editing off a pending message is claimed, to prevent other mods from trying to go into their page and set it up.
In my group we have a "workshift", i.e. each moderator has an assigned day (occasionally we have 2 moderators on the same day). If a moderator for any reason wants/needs to follow a specific pending member, he/she leaves a note in the Notes section of that member's page. Before handling pending members (especially those who have been on the pending list for some days), moderators check their Notes section. I don't know if this would work with your group. Hope this helps, anyway. Best, Marina