If someone offers you a referral in 2013, make sure you follow up. If it's not an introduction you want, communicate that clearly but politely. Even offer to pass it onto someone more appropriate. If it is, make both yourself and your champion look good by responding in good time.
If you take one mantra away from university (no, not 'first year doesn't count'), let it be that in life, it's all about who you know, not what you know. Building up a hefty little black book, knowing someone who can put you in the right company and having impressive names on your email is what will count.