Not had the same issue, but I changed my router & Mavericks (which had played quite happily with the My Book Live before that), became very unhappy, though the phone & tablet saw it still.
One suggestion I saw somewhere was to reset it - which seemed to partially cure it; then uninstalling totally & reinstalling “WD Quick View” completed the fix. Not really sure why WD Quick View had much to do with it; re-setting it (even though it’d picked up the same IP address as before, I’d checked that before I’d switched routers) did make sense.
Maybe you could try resetting and/or reinstalling the software??
