You could try doing all these things, probably it will fix your lag a bit.
1. Close all the applications that are actually running in the background.
2. If you are jailbroken this will obviously affect the gameplay, but there is pretty much nothing you can do about it but updating to a newer iOS version to remove it.
3. Try always to have the lastest iOS version.
4. Tap on your character then edit, then go onto the options section, make sure to enable Less Effects, you can also try to disable Image Animations and to hide Nicknames.