I am having the same problem. I have tried on my iBook with the most current version of LimeWire Pro (both versions of .bin downloads) and Beta. I am running OS 9.2.2 with 288 MB of built in Memory (+Virtual Memory is ON).
I upgraded to Stuffit Deluxe 6.5.1. (I upgraded because of this problem and it did the same as the older version)
Message: The Application "LimeWire Mac.bin" could not be opened because an Error of Type -39 occured.
When I try to expand with Stuffit Expander, nothing happens. I have studied the FAQ's and have tried 12-15 different approaches.

I installed both on my newer iMac that has OS 9.2.2 also. Same result. I have OS X but have not installed. Would appreciate some advice.