Lineman
Lineman
Lineman
Lineman
Lineman
Lineman
Lineman
Rat Ogre
Gutter Runner
Gutter Runner
Thrower
Interesting lineup; I've just finished the play-offs for the Chaos Cup (our league's second cup) with my Skaven team, and I was a noob to speed when I started them (longtime Orc/Chaos/Me-Beet-U-On-Hed types), but they've suited me brilliantly. But anyway...
Like the other guys said, Block then Pro for the Rat Ogre; Block will keep him alive a little more often in those not-so-good blocks he'll have to make, and Pro is about the only way he'll ever get to re-roll something.
Without Stormvermin on your starting lineup, you'll have to get those Linerats working. Block is pretty much indispensible; after that, Sure Hands for Runner-types, and Tackle/Strip Ball for defensive types. Definately go for mutations on doubles; my first Linerat to crack 6 SPP's got Horns and made a GREAT sweeper (pity he got killed in the next game

)
Your Thrower... now that's a tough one. I spent all of my first cup and a game or 2 of my second with only 1 thrower, and I didn't have too much trouble moving the ball upfield. Just remember, your Gutter Runners can pass the ball a little better (no personal re-roll, but better base roll), and with a Team re-roll handy, any one of your Linerats can throw just as well. My thrower (Goofy) is currently on 23(?) SPPs, with Sure Hands, Pass, Safe Throw (3 of my passes were intercepted before I got this skill

), and Big Hand. I'm looking to get him another double on his next advance so I can give him Nerves of Steel (or maybe Dodge: get in, pick up the ball in the midst of a scrum, and get the ball/himself AND the ball out again).
Gutter Runners are the stars of the Skaven team, though. But with this stardom comes a very big downside: TARGET. My opponents (one of whom had played Skaven previously, another had played his team) already had some idea of how the team was run, and so tried to shut down my GRs. When that happens, they're bound to leave a Linerat lightly (if at all) marked, and you can usually risk clearing him and throwing the ball for a TD run that your opponent didn't see coming! Anyway, get em Block, maybe Side Step, and look for mutations on doubles (my star GR atm only has Dodge, but is St 3, Ag 5, and Av 9[Magic Helmet and Spikes]!!!

)
Lastly, get your hands on some Storm Vermin quick! My 2, Mickey and Minnie (see a naming convention emerging here?

) became CAS-causing terrors of our league for the first cup after both picking up Mighty Blow (they were doing better than the Chaos team, and keeping close to the Undead's Mummies!). Now, they both have Tackle as well, and Minnie has +1AG; all because my opponents would concentrate on shutting down my GRs, and I'd just throw the ball at a Storm Vermin instead. I'm praying that Mickey will roll a double when he next advances (its only about 5 SPPs away), so I can give him Razor Sharp Fangs, or Horns, and reaffirm his place as casualty machine
Wow, that was an essay, wasn't it

Dunno if it helps any, but I hope you got something from it.