No, I really don't. In fact, 3rd year is making me think I might have Asperger's because I have heard repeatedly that I'm bad at picking up social cues, which I was never aware of before. It's also bad news because I'm interested in the more patient care-centered fields of medicine where picking up interpersonal cues is important.
Giving advice on this kind of thing is near impossible without knowing you, so I'll offer some general suggestions and you can sift through for anything that might apply.
1) Shut up. Seriously. Almost every socially awkward person I've met conveys their awkwardness through their words. Whether it's being too chummy with attendings or making inappropriate comments around other students/residents, or who knows what, you can fix it all by firmly pressing your top lip against your bottom lip. Stay involved and engaged in what's going on, take notes, look interested at all times, laugh when other people make jokes, smile, etc., but do it quietly. Make an effort to do whatever you need to do with the fewest words possible. Not only will this dramatically reduce most people's perceived awkwardness, but it will also give time to....
2) Listen. Really listen. Most socially awkward people I know never really listen. They're so wrapped up in what themselves and what they're going to say next and who knows what. Use your silence to really listen. There's a theater analogy that works well here, namely: even for leading actors, they spend 90% of their time on stage listening. If you watch amateur performers vs professionals, it's the listening where you can really see the difference. I think there's a lesson to be learned from that. Learn to listen really well, listen actively. This will go a long way toward helping you pick up on whatever cues you're missing.
3) Be aware of your body language. This one is hard. I find it helpful to start observing others and then you'll start noticing things in yourself. These can be big observations such as how your classmates look so uninterested when they are out of the circle and leaning against a wall or looking at their phones. They can also be small such as when someone is speaking publicly at a conference or grand rounds and they gesture, they'll sometimes hold their thumbs at 90 degree angles to their hands. Nobody does this normally in regular life, but speakers and actors and singers do it all the time. Notice the difference between students who stand their with hands in pockets vs those who stand there holding a paper and taking notes. Just become observant of what you can tell from others' body language and realize that others can read the same in you.
4) On the few times you do speak, use more questions than statements if possible. Seriously, if you just ask people about themselves and then shut up and really listen, they'll adore you. People who yammer on about themselves get annoying fast -- don't be that guy. Nearly impossible to be annoying by letting others talk and simply respond to what they say in a way that lets them keep talking.
Others might have other ideas, but those are my initial thoughts.