So long as it's a good watch...
I had, and used, that Casio data bank watch. If the alternative for looking up a phone number was a FiloFax, actually it had merits. Also, I'd been known to use the calculator. I always wanted a Seiko RC watch, but never persuaded my parents to buy me one.
I've since been through a series of Timex DataLink watches, which could have done with a better interface, but remained a perfectly good digital watch. I occasionally programmed them to do something interesting, like tell me where to go next on a pub crawl and record whether I was ahead or behind schedule compared with previous years. I never got around to converting to more programmable devices but worse watches, like the Fossil Palm watch or the Ruputer.
I do have (and am currently charging, for amusement value) an OLED watch that plays "MP4" video. It's awful - you have to press a button to get it to tell the time, it runs down in a day, it's huge, plastic, and fogs up if you get sweaty. It also came with the wrong driver CD (unless there's a Motorola modem in there as well). However, for its intended purpose - winding up a colleague on a circuit board design team who was complaining about fitting things into a phone-sized form factor - it worked perfectly.
For the last year or so I've been wearing a non-programmable watch, costing me about £10 from Argos. It had a horrible user interface - most notably going into "tell me what angle the sun is" mode whenever I bent my left wrist and accidentally pressed a button, which could only be reverted from by pressing a specific one of the other five buttons, so it was rarely actually telling the time - and I'd have fixed that if I'd had a programmable option.
As of a week ago (because of the waiting list), what's on my wrist is a Pebble. It's a vastly better watch than the previous thing, and much easier to program than the Timex (no more 6809 assembler). I'd prefer not to have to charge it every few days, but at least it tells the time faultlessly and doesn't need charging more frequently than I'm asleep. I've no intention of using it for phone notifications, but there are some cases for which having something programmable on the wrist is more useful than fishing in your pocket.
Would a Google Glass (or your choice of similar wearable headset) be even better for always-on access? Possibly, but a watch is a lot less intrusive, and everyone seems too concerned about Glass wearers looking stupid for that to be an option. Supposedly women, especially, are now carting around two phones, one dainty and pocket sized and one with a huge screen for web surfing (men may do this as well, but those with flabby thighs like mine have less problem fitting a large phone in a pocket). So, for now, watches are as good as any option for some scenarios. Esoteric ones, maybe, but don't make life harder for those of us who want to make life easier for ourselves. Otherwise we'll have to resort to Glass, and you will be assimilated.