The solutions in the comments are preferable. But if you are really desperate, you could write a cronjob to automatically commit all modified files in a directory every minute, hour or day.
Just write a simple script that commits and pushes from the directories you care about -
#!/bin/bash
cd /path/to/repo/
git commit -a -m "Auto-Commit"
git push
Then add the script to your crontab, CentOS Instructions here. Have it run however often you like.
This will only commit files that have already been added to the repository.