Not enough to make it worth the purchase new, at least, in most cases it wouldn't. If you could find an FX-8320 (And drop an overclock to about 4.5Ghz on it) or FX-8350 (Same) you would probably see a small but reasonably worthwhile improvement but you would also need to purchase a capable cooler as well. Anything else is wasteful and you absolutely don't want to even consider looking at any of the 9xxx series FX chips as they are a giant voltage leaking joke that are only suitable for use as room heaters.
If you can find an 8320 or 8350 for the right price, then it might be worth it, as you already have a fantastic motherboard that can handle high end overclocking. The extra two cores PLUS the extra 1Ghz clock speed would likely improve things enough to at least be tolerable for now since a better upgrade is as you say, not possible right now due to finances AND not recommended due to problems with current memory and GPU card pricing.