Wouldn't it be uncomfortable, having your bits stuck together? How would it hold out against striding along purposefully, or a stretchy yoga session? What about swimming pool water?
Wouldn't hair get in the way and act as capilliaries to let blood pass through the glue barrier? Or does this only work with a Brazilian, so you get a complete seal?
What about a heavy, clotty, perimenopausal, floody period? I'm prepared to be impressed if it can withstand that, but I'm not expecting it to be able to.
What is it actually made of? Some women have enough issues if they make the error of using scented sanpro (see a few million previous threads) - it's a very sensitive area, and I wouldn't want to risk applying potential allergens without knowing it had been through extensive testing.
And yes, my period has sometimes distracted me at work, but I'm allowed to take loo breaks, so it's not a big deal, and doesn't have much effect on my productivity. Far less than pissing about on eBay or Facebook or just chatting in the kitchen area, which is something men do too. There are many, many ways to be unproductive - I certainly wouldn't rely on my period for that. I want work-avoidance methods that I can use every day I'm at work.
I have said in the past that periods would be more convenient if we could control them like other bodily functions. I don't think glue is the way forward, though.