Tin Hat assumes that your system has up to four NIC cards, eth0 through eth3. It will try to configure each one using DHCP first and, failing that, will assign an IP4LL address. Tin Hat is also IPv6 ready, and so each interface automatically gets a link local unicast address, but will also acquire a global unicast address if it hears any router advertising on the LAN.
If this fits your need, then just check to see that you have net access. Do the easiest test first. Fire up a browser and go to http://www.google.com If it worked and you're happy, move along. Otherwise, check your network status by looking at your IP address(es), route(s) and DNS resolution. Do
sudo ifconfig
sudo route -n
host www.google.com
Does at least one of your interfaces have an IP address within your LAN's DHCP pool? Can you ping your router? Can you resolve google's IP from its FQDN? Can you ping google, assuming ping isn't filtered on your LAN? Hopefully these steps will point out where your problem is and you can remedy them.
But what if you want to manually assign a static IP address and default gateway? These can be set by editing /etc/conf.d/net and setting IP addresses/routes on a per interface basis. For example:
config_eth0=( "67.151.215.232 netmask 255.255.255.224 broadcast 67.151.215.255" )
routes_eth0=( "default via 67.151.215.225" )
config_eth1=( "192.168.100.11 netmask 255.255.255.0 broadcast 192.168.100.255" )
would set eth0's IP address to 67.151.215.232/255.255.255.224 with a default route via 67.151.215.225, and it would set eth1's IP to 192.168.100.11/255.255.255.0, but it would leave eth2 and eth3 as DHCP/IP4LL.
There are many other networking options one could set. Look at /etc/conf.d/net.example for more examples. Also, since Tin Hat is a Gentoo derivative, most of Gentoo's excellent documentation also applies. For networking, you can look here.