Does DiskWarrior do anything?

Disk Warrior is an expensive and specialized application whose only use is to try to recover data from a damaged volume that Disk Utility can't repair, and for which there are no backups.

If you're in that position, then instead of spending about $100 on software that you should never need again, make a "Genius" appointment at an Apple Store, where the program is available for the "Geniuses" to use on customers' machines at no charge.

The only reason to buy your own copy is that you can't get to an Apple Store, or (like Apple) you provide help-desk services to other Mac users who don't back up their data. Otherwise, Disk Warrior is a waste of money. What it does—recreating a volume directory—can be done better and faster for free by erasing the volume and restoring from a backup. That's assuming you have a working backup, of course. Not having one is a mistake you shouldn't make more than once.

The kind of directory corruption that you might need Disk Warrior to recover from can, for all practical purposes, only happen because of a hardware malfunction. It is not caused by forced shutdowns or system crashes. Any drive that malfunctions in that way should preferably be replaced at once. Even if you choose to take the risk of continuing to use the drive after the first such incident, after any repetition the drive should be wiped and recycled, not restored. Occasionally the fault might be in another internal component, or in an external drive enclosure, rather than in the drive mechanism itself.

There may still be some people who believe that rebuilding a volume directory improves performance. There has never been any evidence, as far as I know, to support that belief, and the last time I checked, the developer of Disk Warrior was no longer making such a claim on its website. Whenever I've asked DW advocates to substantiate their belief in its value, the response has always been along the lines of, "Because I say so," or "Because X says so." But every time I check, X either never made the statement, or else he has no data to support it. Nevertheless, if you have reasons of your own to believe that rebuilding a directory is a useful maintenance step—rather than pointless busywork—you can do it faster and more safely by erasing the volume and restoring from a backup. No third-party software is needed for that.

Disk Warrior is not a maintenance tool; it's a recovery tool. If you have adequate backups—which means multiple backups—you’ll never need a recovery tool, and therefore Disk Warrior is useless to you. If you don't back up, you'll eventually lose all your data, and Disk Warrior won't be able to save you. Don't waste money on it or anything like it. Spend the money on backup drives instead.

I usually want a few files recovered.

OS X Mavericks: Restore items backed up with Time Machine

Time Machine doesn't store data in iCloud.

That only applies to documents stored in iCloud. Time Machine stores data locally.

What Linc said.

Over the years, and prior to my switch to a fast SSD, I used DiskWarrior in a 1 - 2 month maintenance cycle. Although OS X does not permit disk fragmentation, the system database that tracks filesystem objects and their storage locations apparently gets porous, and this is what DW reports as its percentage of so-called fragmentation in its graphic display. On a slow drive, and with no other operating system additions to interfere with OS X performance, the aftermath of running DW made a noticeable crispness in storage I/O performance. More so, than say, the aftermath of a Safe Boot process.

I no longer run, or need to run Disk Warrior.

And … Time Machine will locally backup ~/Library/Mobile Documents, which effectively backs up your iCloud documents to a local drive.