Clearing cache failed to add the new CSS properties For Drupal 7, I'm using 


Cache pages for anonymous users
Compress cached pages.
Aggregate and compress CSS files.
Aggregate JavaScript files.


The problem is when I update the CSS code for one of my CSS file, the code doesn't show in my page.

I have tried to Clear all cache and even run cron, but the new CSS code doesn't get added to the cached and minified version of my CSS.

The only workaround is just to disable "Aggregate and compress CSS files." 

Any thought on this will be helpful.
Your Drupal is not able to write inside DRUPAL_ROOT/sites/*/files/css directory. That's why aggregated CSS files are not renewed. Consult your sysadmin to correct permissions and allow Drupal full write access inside DRUPAL_ROOT/sites/*/files and all subdirectories, that should solve it.