If that's root's crontab (edited with sudo crontab -u root -e or su -c 'crontab -u root -e' or similar), then ./twitter/twitter.py will run every hour. If this is the system crontab (/etc/crontab), a sixth field is needed after the asterisks: 0 * * * * root …. I recommend using the root user's crontab and leaving the system crontab to the system.
./twitter/twitter.py starts from the current directory. Cron can't guess what you want the current directory to be: you never told it. Change this to use the absolute path to the script, e.g. /home/paul/scripts/twitter/twitter.py.
You'll need to make sure that twitter.py starts with #!/usr/bin/env python (I'm assuming it is a Python script) and that python is in cron's default PATH (this will depend on your brand of unix; you can be sure that /usr/bin is in the default PATH, but if your python lives elsewhere such as /usr/local/bin, you may need to add a line like PATH=/usr/local/bin:/bin:/usr/bin at the top of the crontab).
Also make sure that the script is executable (chmod +x …/twitter.py).