I came into photography in the digital age, but I still shoot film just for fun. At the moment, the camera which stands on the top of my bookshelf, ready for action, is an old Nikkormat EL-2 with a 50mm and loaded with B&W film (admitedly, it is only Ilford XP2 super and not TRI-X, since it is easier and cheaper to have my shots C41 processed. Sadly, I don't have access to a darkroom).
I do find it makes me take more time to consider each frame I shoot, but there are also so many missed shots because I'm not that great at manually focusing on moving subjects or gauging exposure. At least there is a built-in meter to help me save a few images.
All this to say that I find a lot more pleasure with that old device than my DSLR just because of the challenge and of the expectation of developing that roll and finding some image I don't even remembered shooting...
As a learning tool for the technique, digital is great as it does not cost as much to see where you failed and it embeds the info on the shot parameters. However, for the composition and pictorial learning process, analog is great as it slows you down.