looks like the battery has leaked. Any way to clean up?

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maybe this will help you:
(it caused me a lot of headaches)
image

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lord_smeag, then you have different board version than mine, sorry..
nevertheless those three points should probably be connected

Test all traces around battery and esp. the ones coming from CPU.
Clean the CPU socket thoroughly (some people here recommend replacing the whole socket; I did it as you can see, but its a lot of hard work de-soldering 40 pins  :-x )
You don't have to wait for new battery as Amiga should work fine without it.

I'd also recommend doing lithium batt. hack from Aminet, even though NiMh are supposed not to leak..

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with digital multimeter, of course. the fuse should be 'resistor' with 0 Ohms (a short). if its open then its blown.