Not sure what type of lime you're planning on using, whether bagged lime, or Ag. lime from a quarry, but neither will spread very well through this type of spreader. It's so fine, it will pack, and bridge over, unless it has a really aggressive agitator, which I doubt. It'd probably be best to be searching for a pull type, drop type spreader. Important thing on those it to make sure the agitator is in good shape too. Plus real dry lime to feed well.
There is pelletized lime, but per my County Extension Agent, it is just good for a quick fix, and only good for one year, let alone being expensive, compared to bulk lime from a quarry. Ag. lime from a quarry should last about 5 years before needing reapplied. At least, that is common here.
Have you had soil test done, to see how much lime is needed per acre..?? If not, that $8.00-$10.00 test could save you a LOT of money. If it comes to needing tons per acre, which more than likely it will, approx. $11.00 per ton for Ag. lime at the quarry (Thinking that is what I paid 1-1/2 years ago.) versus $8.00 per 50# bag for dolomitic lime, or pelletized lime, it will get expensive quick..!!
A soil test will also tell you are low in Magnesium, or Calcium, and use a lime that has a higher content of what you're needing.
If you have a County Extension Agent, I'd suggest getting in contact with them. they can be a big help..!! The soil tests will cost you a few bucks, but info provided by the CEA is free, so to speak... You're paying for that service through your taxes. Might as well take advantage of it.