Will my iphone apps still be saved if I replace the screen without backing up data on the icloud?

I tried backing up my data on icloud a few days ago, but some apps did not backup because it said it needed a certain amount of space on my phone to do so. My screen is now damaged, and I will get it replaced. Will my messages and apps still be on there once the new screen is installed?

Hm, not sure whether the iPhone needs to be reset during the screen replacement operation. It is always good to back up your iPhone before doing something radical as changing your screen. If you don't want to back up the apps and app data via iCloud, use this free beta tool instead to keep the app backup on your computer instead: http://www.copytrans.net/copytransapps.php