# mkdir -p /home/var/lib
# mv /var/lib/apt /home/var/lib && ln -s /home/var/lib/apt /var/lib
# mv /var/lib/dpkg /home/var/lib && ln -s /home/var/lib/dpkg /var/lib
# mkdir /home/var/cache
# mv /var/cache/apt /home/var/cache && ln -s /home/var/cache/apt /var/cache

That's about it - 30-40 MB freed on the root.