Just updated the "Cydia search" version of BiteSMS and currently works great
Just saw this posted below...nevermind!
Can't you just use icon renamer to change the name?
You know what's funny, that's how I figured out you can't change the name! As soon as Mobile Substrate was updated I reinstalled Icon Renamer and attempted this, but it changes back to "biteSMS" every time. I thought it was a fault on Icon Renamer, but I'm able to rename all other icons with no problem.
You can change the name using iFile. just follow the instructions on this page: http://www.idownloadblog.com/2010/12/02/tutorial-how-to-replace-the-pink-bitesms-icon-with-the-stock-sms-icon/
Thank you! Trying it now. In the new version, since that article is 3 years old, there's something like infofw5.plist and info.fw6.plist where just info.plist should be sooooo let's see how guessing how to do this turns out.
EDIT / UPDATE: I was able to edit it from "biteSMS" to "iMessage" (what I personally preferred) in both the files, but for some reason it was still saying "biteSMS" under the icon after a restart and respring.
Pretty sure it will stay as bitesms. The option is for the bite or message icon. I think there is an app that you could use to change the name of bitesms to messages if you prefer.
Wish people talking about this and that working would comment as to if they have a 5 or 5s, lol