Drush installed globally via composer as root user, but how to access Drush with ordinary user?
To install for all users on the server:

curl -sS https://getcomposer.org/installer | php
mv composer.phar /usr/local/bin/composer
ln -s /usr/local/bin/composer /usr/bin/composer

git clone https://github.com/drush-ops/drush.git /usr/local/src/drush
cd /usr/local/src/drush
git checkout 7.0.0-alpha5  #or whatever version you want.
ln -s /usr/local/src/drush/drush /usr/bin/drush
composer install
drush --version


Personally I don't bother making the composer symlink from /usr/local/bin to /usr/bin and made the drush symlink to /usr/local/bin (rather than /usr/bin) as I have /usr/local/bin in my $PATH but YMMV...

Source: http://docs.drush.org/en/master/install/