It's also a good idea to change the default command prompt while inside the chroot. This will avoid confusion if you have to change terminals. Use this command:

# export PS1="(chroot) $PS1"

Test internet name resolution from within the chroot:

# ping -c 5

If you can't ping, make sure /etc/resolv.conf doesn't contain things like 127.0.x.x addresses, if it does, change the 127.0.x.x entry to -- Google's public dns address. Make sure to replace this with your dns of choice once the system is installed.