All computer parts wear out from use. Hard drives, fans, even solid-state components like RAM and CPUs. The important question is, how long does it take to wear out? Obviously a couple years is unacceptable for most people, but once you get up to 10+ years it becomes kind of irrelevant. Parts become obsolete pretty quickly and after a decade or two aren't really useful or worth anything.
Good SSDs have reached this point, write endurance is good enough that there's no way a user is going to wear it out within a reasonable amount of time. This thread might be a good place to start.
http://www.xtremesystems.org/forums/showthread.php?271063-SSD-Write-Endurance-25nm-Vs-34nm
Basically a handful of guys are hammering SSDs with writes in the name of science to see how much you can write to them before they fail. The 40GB Intel 320 (25nm NAND) has had 271TB written to it and is still going strong. The 64GB Samsung 470 (34nm NAND) is up to 322TB. Might not sound like a lot, but keep in mind that your average user will probably write between 5-15GB/day to their SSD. Just to be generous let's assume 20GB/day, which is probably pretty unrealistic but we'll use it anyway. At that rate, you could write to the SSD for 37 years before reaching 271TB, and remember that 271TB isn't even the limit, just what has been written to the SSD so far. May go up to 300TB, may go up to 500TB or 1000TB or more, we'll just have to wait and see. Also keep in mind that larger SSDs will have more flash to spread wear over, so in theory the 80GB Intel 320 should be able to handle two times as many writes, the 160GB four times as many, etc.
So like I said, it's a non-issue with a well-designed SSD and desktop workload. The drive will be obsolete or will have failed in some other way long before your average user reaches the write limit.