I have a Maytag with an icemaker also. I don't know if THIS is your problem but it has happened to me twice.
In mine, if you pull the bottom door of the icemaker out, there is a plastic bar that rises as the ice fill up in the tray. When the tray is full of ice, the bar raises up and shuts off the icemaker until more ice is used and the bar comes back down. Twice, this plastic bar has gotten lodged in the 'up' position, turning the icemaker off. The first time it happened, it took me a while to figure it. If this is the case, unlodge it and it will drop down and the icemaker will start working again.
You might check that out.