May have fixed my sleep issue with a router firmware update
Just a note to let everyone know that I think I resolved my Twine's sleep issues. I was having issues similar to what others have posted.
I use a Cisco/Linksys E4200 WiFi router. It was running the out-of-the-box firmware from about 1 year (or more) ago, version 1.0.01. I upgraded the firmware to the latest and now the Twine seems to sleep and wake properly.
I hope this info helps someone!