If you are having issues with an update, un-install the game, re-boot your device, then re-install it. To solve connection issues over wifi, turn off your router for around 30 seconds then turn it back on.
If you are playing over 3G or 4G connection, use a cookie cleaner app to free up your device memory. I recommend an app called CCleaner, it is available on most platforms and is easy to use and a free version is available. It also has a cleaner in the menu which will get rid of parts of old files that have been left after un-installing programs in the past. Look in the menu for the registry cleaner and run it. You will be surprised how many registry issues you will be able to sort out in the space of a month! This will free up available processor memory making your device more efficient and faster. I find that CCleaner can really help get your device back up to full speed, no matter what platform you are on or what connection you use.