The Skaven team is, in my opinion, the hardest to play. The team draws an abundance of Cheating Tokens from the get go, which, in great numbers, represent a risk to at least one of the matchups you are committed to. Here is a list of basic pointers.
The first round for any Skaven team should be all about earning buffs (such as Star Players and Team Upgrade cards.) Many people run straight to where the fans are, but you should be aiming to grab the stars.
there is a simple reason for this. Getting Freebooters will allow you to drop the riskier, unskilled players (Blitzers for Skaven are sadly lacking in any kind of bonus) or replace the Linemen (Good to do for any team, especially with Freebooter Linemen.)
The team upgrade that allows you to check and discard a cheating token is very handy and coupled with the Rat Ogre's skill, significantly reduces your chances of being sent off.
Getting the right balance here is essential. Don't be afraid to leave off from the high scoring fan pickings early on and aim for the team building elements of the game. You can grab all those fans back from round 2-3 onwards, when you have a better team than anyone else.
Back up your Gutter Runners with Linemen. The Dodge skill means you can force the opponent to make a potential mistake and then, on the off chance he does bring you down, you can redirect on to a lineman with Guard and keep this more valuable potential ball carrier standing.