Quite literally 99% of my 'cutting' period I consumed nothing other than what I listed, except for water and WPI. This is why I wouldn't recommend it, I dare say it wasn't healthy as I was likely lacking vitamins and minerals, plus it was hard to stick to mentally. If you can do something similar (though with more vegetables perhaps, or at least a shitty multivitamin) and stick to it while continuing to focus on heavy compound lifts and not dropping your weights, then you'll see great results as I did. But like I said, I wouldn't recommend it.
EDIT: OH WAIT, I had the occasional snack of a couple of rye biscuits with organic peanut butter. This helped keep my sanity even if peanut butter doesn't sit well in my stomach.