UPDATE 12:24 GMT
Try the game now please and see if you are now staying online.
The issue listed below should now be resolved.
ISSUE:
We are aware that the game is staying offline.
This has been sent of to the developers.
Remember if you have any crops needing harvested before they waste, you can work offline to do them yourself and so can your super neighbours.
We apologise for the inconvienince and ask you to try to be patient while this is investigated. It is very early in the morning for the developers so we may have to wait a while.