It depends on the hospital, the program, the residents, the attendings.
Personally, as a 3rd year DO student, I've done a fair amount of suturing, placed NG tubes, done I&D's, casted fractures, placed IV's, done injections, numerous blood draws, first assisted in multiple surgeries, done LPs, assisted with central lines, delivered babies, repaired perineal lacerations and episiotomies, assisted with C-sections, done endometrial biopsy, colposcopy, and colonoscopy, done surgical excision of warts and cryotherapy, spirometry, and ultrasound. Unless I mention that I assisted (as in the surgeries and central lines), I was the one doing all of these, with supervision, of course.
I'm sure there are many others with similar and even more experience.
You have to be aggressive and act like you know what you are doing even when you don't...you have to be confident, even when you aren't, but if you are, you can get plenty of clinical experience.