In my experience it will depend a lot on your teammates. In our store, Deli is super busy and lots of teammates around you, if you're the night shift (in our store) you'll be doing the heavy lifting from incoming truck orders. Meat dept isn't as busy with customers, but LOTS of lifting and truck pallet moving. Our Meat Dept helps with truck unload every delivery. Also, our meat dept works alone, so not many co-workers around. It's really dependent on the store, I'd think. If you have time before you move into the position, talk to the people already in that department. Ask them what they like and dislike. Never hurts to ask.
(and I'd love proper training.. but it's my experience that it doesn't exist (in our store at least... a couple of video's, and 2 days following some one else around isn't proper training). )
I work in the deli department and ours has really gone downhill over the years. Everyone hates it. Whenever we get a new hire they generally quit. Everyone fights to be the one not to wait on customers and will wander off to do "other tasks" leaving one person with a huge line. I'm not saying all delis are like this, but that's been my experience. I have no experience with the meat department, so I couldn't tell you how things are on that front.