I've only taken one deer with the .35 Rem, as I just bought mine (a Marlin 336C) this year. I've seen several taken with the caliber. It is a flat-out killer and hits like Thor's Hammer in my limited experience.
My deer that I took with it this year was a 100 yard shot, slightly quartering towards me. The bullet was the Hornady LeverEvolution 200 grain, and it entered centered on the ribcage, put a .35 caliber hole in, a fist sized hole in the near side ribcage, demolished the lungs, then barely cut paunch and exited behind the ribs on the far side with a quarter sized hole.
The big fat doe ran about 20 yards then gave up the ghost.
You cannot possibly ask anything more from a lever gun.