It's totally opposite of what you'd think.
Typically being engaged means you're attentive and deeply involved, not distracted, but totally immersed in the task at hand.
But it's not true.
Since being engaged (to Mr. Price) I have 0 attention span. It's worse than if I'd played video games my entire life (which I haven't). I'm on the phone with friends telling the fabulous story, I'm looking at wedding blogs and design ideas, I'm admiring my ring, I'm thinking of the million and ten things that will need to be done...and it's not like I'm getting anywhere with those. I'll get online to look up reception venues but then see a link for summer colors that links me to bridesmaid dresses (which I'm not even having! but I admire them anyway...)
It's all ridiculously fun.