Also, what is it? What part of the chip does it affect? Will the BIOS update disable part of the chip, making it less effective?
Disclaimer: I don't really know anything about this story beyond what's on the Inquirer/forums, and I'm not speaking for any companies.
The TLB is the "translation lookaside buffer". Background:
It used to be that if a program accessed memory location 5, the CPU really accessed physical memory location 5, and the program could access any memory location it wanted to. Programs also saw only as much memory as the computer really had (because they were accessing the physical memory directly). Modern systems use "paging". When a program accesses what it thinks is location 5, the CPU instead looks in a mapping table set up by the OS that maps the "virtual" address that the program sees to a real "physical" address that the CPU actually accesses.
That mapping table is called the "page table", because it maps memory at a "page" granularity (4KB). Along with the translation, the page table stores some permission bits that can be used to keep one program from accessing memory belonging to the OS or another program. Also, because the virtual addresses don't have to map directly to physical addresses, it's possible to make programs think a machine has more memory than it really does (when it runs out of physical memory, the OS can pick a page and swap it out to the hard drive until it's needed again...without the programs even realizing it).
Now, these mappings are pretty big, so the page table is actually hierarchical (don't worry about the details). The net result is that finding the translation from a virtual to physical address generally requires ~3 memory accesses (for 32-bit apps - it's about 2x as bad for 64-bit apps)... so to do one useful memory access, you'd need to actually do a total of 4 accesses! To make paging feasible performance-wise, the translations are cached so that they don't have to be looked up each time. This cache is the TLB.
Disabling the TLB is not an option, because the performance hit would be unreasonably large (best case, each memory access, even accesses that hit in the L1 data cache would take 4x as long). Now, modern processors actually have multiple levels of TLBs (multiple levels of cache for the page table translations, just like the L1/L2/L3 caches for data and instructions) - maybe the L2 TLB(s) could be disabled if they were buggy, but I would imagine that would have a large performance impact in some situations. I'm not familiar with Barcelona/Phenom's TLB organization though.