First off, congrats on starting something new!
1. When you do clinicals, especially in the hospital, don't focus on skills, focus on patients and providers. Yeah, I know you might need 50 IV starts, but that's not where your benefit will lie. It's seeing 30 patients start-to-finish (rather than over a 30 minute transport) in one shift, watching the doctor assess, ask questions, and formulate a diagnosis.
2. Worry more about looking like you're a sponge wanting to soak up knowledge than looking like a great medic. If you're in the ER, help re-stock, clean, and be a part of the team--that way, they'll treat you like it. If you're on a truck, it'd better be you that's willing to mop, sweep, and wipe the patient's...well, you know.
3. Find time in the ED when they don't usually get students (the night shifts people don't always want, for example). They don't have students running in and out every day, so teaching will be more fun for them and they'll be happier to do it. Additionally, if you work with the same people over and over, they'll trust you to do more (that EJ stick, for example)
4. Study. I know, it should be self explanatory, but it's not. Don't just study your drug flashcards and rhythm rules. Learn about the pathophysiology behind what's going on. It'll help you understand more and put the big picture together.
5. If you find yourself getting overwhelmed emotionally due to being so stressed, seek out a counselor (or some Xanax) early in the game, not after you have your first breakdown. No, I'm not saying "get on a controlled substance to make your problems go away," I'm saying that depending on the program, this may be the most time-consuming and energy-sucking thing you've done (or will do).
6. Talk to your support system. Friends, parents, co-workers, anything. Find people you can vent to, and actually talk. Don't just say "Yeah, medic school is great," find people you can talk to and say "Well, I bombed a quiz and missed my first field tube all in one day."
7. Don't ever correct anybody in front of a patient or fellow worker unless they're physically killing their patient (in fact, don't correct them at all, just learn what not to do).
8. If you don't know something, say so rather than faking it. Example: "I'm not sure my IV skills are up there enough for this stick," especially if it's a guy with a blood sugar of 18, you're holding a 22-gauge that was handed to you, and you're staring at the last palpable vein on that patient.
9. Some preceptors will be mean and difficult. Don't fight with them, just be glad they're showing you what not to do when you become a medic.
10. If you can avoid signing anything that stays with the service or hospital, do it (Example: If you sign the bottom of the service's PCR as "John Smith, Paramedic Student) it might feel cool, but med mal lawyers see that and say "Betcha I can find a mistake in there somewhere)
11. Never hit a patient with an oxygen tank, no matter how much they seem to deserve it. And no, it doesn't count as a positive pressure ventilation on your skill sheet.
12.. Every clinical site is a potential future employer, and that's the first way they look for new employees. Think of it as their "try before you buy" period. You'd do well to be nice and make friends.
That's off the top of my head. I hope it helps!