I run chains on the rear of my L4330 all winter. I have turfs and haven't measured the clearance ...I will tomorrow, if you like. I don't really have a problem ...except, I have left on two extra side chain links on the inside to make the initial connection easier and, when I re-tighten sometimes the extra links will hit one spot ...usually, I tuck the extra length inside the side chain and that takes care of the problem, for a while ...I could wire it or, of course cut it off, entirely. Now, I do use chain adjusters on the outsides and make sure they are good and tight. I did have to shorten the chains when I first got them by, maybe, four links or more to get the right fit. I used a dremel abrasive cut off wheel to cut them. None of my bolt cutters would touch so big a chain ...could have used a torch, but (with eye protection and a few discs) the dremel does a great job. If you have to relocate a cross chain to get the right fit, I have a dandy tool that can pry open and reclose the side fastening. see
tirechains and look down at the 33" "tractor type" ...the pix show how it works (and, it does work)
Incidentally, mine are four-link ladder cross chains, which are suitable for my turfs (and probably R-4s, but perhaps not R1s). Two-link would give me a better ride, but it would double the weight of the chain and puttin' them on is no picnic, now.
So, all in all, no problem with chains on my L4330, just get them to fit right, tighten the side chains, and use chain adjusters. Incidentally, if I had a problem, I would have put chain adjusters on the inside, too ...my adjusters come apart at the inner "circle" (pentagon, really) and I do, in fact, have a second set, that I got in anticipation, but have never used. If you need a little mechanical help tightening the side chains, check out
Skidder Chain Tightener from Baileys-online.com ...this link shows a "jack" chain tightener, but also mentions the screw type which is better.
Sorry for the long post, and sorry it's too cold and dark, now, to measure my clearance, but you don't need much if you are willing to tailor your install.
PS: I also run V-link ladder chains on the front ...same tight fit, no problem