Logitech Mouse for Bluetooth
597420
Excellent product, easy to install in laptops with incorporate bluetooth.  Install it in my machine DELL Precision M60 with Windows XP in very few minutes, at the beginning I thought that serious necessary to install some drivers, however it was not necessary, it installs it in 5 minutes and it works perfectly.
2812489
My laptop (Windows 8.1, Bluetooth 4.0, should be compatible according to specs) does not recognize the mouse for pairing.  Laptop works fine with other Bluetooth devices.  The mouse appears to be functioning properly (lights up, LED flashes for pairing mode, pairs OK with my cell phone).  I fooled around with some settings already, made sure all updates were installed, etc.  I'll probably try reinstalling drivers before giving up, but it doesn't look good.

Pros:  works great on my Android phone (but I don't need a phone mouse).

Cons:  Doesn't work for intended purpose, on a system that should be compatible by the specs given.
1825500
I have two of these, one Bluetooth, one using a dongle. The Bluetooth version dies when the batteries will still run its sister for a couple more weeks. Other than that, it's a nice mouse.
3701903
(I'm a little surprised at many of the "answers" posted here. I'll try to denoise things..)

This is a Bluetooth mouse. (If your computer doesn't have Bluetooth, then you need to buy a separate USB-Bluetooth dongle.)
It pairs happily with Windows 10 on a Dell XPS15 9550 laptop. (No cable or dongle.) (Click Start, type "Bluetooth" and click Bluetooth settings. Set Bluetooth on, if it isn't. Turn mouse on (switch on bottom). Press and hold the little button on the bottom of the mouse. Then click "Pair" on the "Bluetooth 3.0 mouse" box.)

Does not come with the two required AAA batteries. (Buy some with fresh batteries. Speaking from experience, here.)

The mouse is fairly aggressive in going idle (saves battery), so you sometimes need to click or roll the wheel to "wake it up." Less battery waste, but a bit annoying if you are coming from a wired mouse experience. (Having batteries at all is annoying too.)

So overall, this is a Bluetooth mouse, that travels well (small, sensitive). I can't say yet if it gobbles batteries (i.e. do you need to buy rechargables?).

One nice perk is that there is a button that lets you change the mouse sensitivity (DPI). You click the tiny button just below the wheel, and it flashes red back 1-3 times to tell you the low/medium or high setting. Low is good for when you have a desk, High is good when you don't have much space to move the mouse.

If it lasts a few years and doesn't drain batteries, I'll give it five stars.

UPDATE:
Its ability to connect and stay connected is highly variable. I've ordered a higher-end Bluetooth mouse.. but I can't bear to use this one anymore.

UPDATE2: The&nbsp;<a data-hook="product-link-linked" class="a-link-normal" href="/Microsoft-Bluetooth-Mobile-Mouse-3600-Black-PN7-00001/dp/B015HWLB2G/ref=cm_cr_arp_d_rvw_txt?ie=UTF8">Microsoft Bluetooth Mobile Mouse 3600 Black (PN7-00001)</a>&nbsp;is what I got instead. It works way better (1 AA battery included). Can't say yet about battery life; but it's actually usable.

I'm reducing the number of stars because 1) the constant connection and disconnection is really irritating 2) a good working mouse is only $10-15 more, and 3) I'm now pretty sure that the problem is not with my computer/setup/driver etc.

UPDATE3: Adding a star. Customer service contacted me and offered to pay for shipping the device back as well as a full refund. That's better than I'd imagined, and would give kudos to the service team for being proactive. It's certainly possible that I got a defective mouse; and YMMV.
2018652
Logitech's unifying (proprietary - e.g. NOT Bluetooth) transceiver system is awesome.  It works great and the battery life is amazing.  Setup requires no driver installs.  Just plug and play.
3838528
Bluetooth! No dongle! Works great. Mouse is a little small for my liking, but it is a portable laptop mouse, not a desktop solution. Matches my Thinkpad perfect!
1338311
My new laptop has Bluetooth (which my old one didn't), and I wanted a wireless mouse that didn't require a dongle. The price was right for the TeckNet mouse. It arrived quickly and worked perfectly out of the box.  It has a nice ergonomic design similar to the Logitech MX mouse that I use with my desktop. I'd recommend this mouse to anyone.
2219256
Pros
good bluetooth mouse
nice design
great battery life

Cons-
no multiple links (can only connect to one computer at a time)
feels weird with the left hand (a more neutral design would have been better for me. sort fo my fault as a lefty, but a bluetooth mouse is already tough to come by that works well).
4308321
This si amazing mouse it's wireless using Bluetooth ,so you don't need worry one day lose the mouse receiver dongle plug.easy to connect
1764915
As others did, I went in to Device Manager (Windows button +X) and then Bluetooth...then right clicked Bluetooth Radio, chose properties and then the power management tab and unchecked "Allow the computer to turn off this device to save power" and it is working perfectly. So far. Very Zippy mouse.
1058585
The Logitech V470 Bluetooth Mouse works great with my Intel MacBook with dual screens running in either OS X or Windows XP mode.  I run Windows in both Bootcamp and in VMFusion.  This mouse is compact and easy to use.  Setup was a breeze, especially on the Mac side.  I told the Mac to look for Bluetooth devices and it was done.  Then it worked fine in Windows as well.  Great value for a reasonable price.
1749824
I needed a small-ish Bluetooth mouse for my travel laptop, and have always found Logitech to be the best. This was the only Bluetooth mouse available. It has endured more than two years of frequent and rarely gentle travel without a blip. It always connects instantly and rarely produces any lag time. My one complaint is that the button clicks don't register well unless I press at the very tip, which requires me to place my hand higher on the mouse than I normally do. I would also preferred to have at least one programmable button, but those are pretty rare in travel-size mice, so I don't fault this mouse very much for that. Logitech is no longer making this mouse; the company seems to have abandoned Bluetooth altogether.
1893571
This is a very good product. It works well as a blue tooth mouse. For me it was a bit light but that is just preference.
1370855
A great, compact portable design - Bluetooth enabled mouse, quick and easy to connect and use. This Logitech compact mouse can be used with either Mac or P.C. - I've used it with both...it was easy to connect for first time use, easy to set up, and is comfortable soft grip to use: good value, would recommend!
2728035
Bought it to replace the tecknet mouse with a usb receiver. The other mouse was much better and cheaper. The bluetooth doesn't work as good as I would have hoped.
1643683
Perfect affordable mouse for someone who just wants something for web browsing and common use. Mouse is Bluetooth with no USB receiver which is very nice to be able to save a port on your computer. Very simple back and forward buttons that are pretty useful. The mouse is pretty small so it can easily fit in a backpack but might not feel comfortable if your hand is big.
1092564
This mouse stays linked to Windows 10 unlike Bluetooth. Windows 10 is not friendly to Bluetooth devices so sometimes you have to do what it takes to get your work done.