Got mine about three weeks ago and I feel the same way. I feel sad if, for whatever reason, I have to take it off and leave it behind, and I look forward to putting it on every morning. Odd, I'm sure, as I imagine people seeing me through the day would think I hardly use the watch at all. But that's the thing about the watch. You use it differently than a phone or iPad, mainly because you can't lift your arm and stare at it for long stretches of time. It's for glances, not staring. You get a tap, see a message, maybe send a quick response...then go back to whatever you were doing. Ditto with most everything else. Check the time (glance), note reminders when they pop up (glance), incoming phone calls, etc.
I use to miss texts and calls a lot because my phone was in my bag and I didn't hear it, or I did and thought it was someone else's phone. The taps on the wrist make sure I don't miss texts or calls nearly so much. And I'm finding that most of the things I used to do on the phone, I now do on the watch, like check my shopping list, do quick calculations, pay for groceries/coffee; I like that it don't have to juggle it hand to hand as I often did the phone in a lot of those situations (and I'm not going to drop it like I sometimes dropped the phone).
As for phone calls...I think we've found the weakness in Dick Tracy. It's tiring lifting your arm for a long conversation

But I did impress my father by showing off the watch's phone-call-making abilities to him. And it's certainly useful as it not only lets you know if you want to answer that call, but if you do, it keeps you from missing it. I sometimes missed calls as I tried to find my phone before it stopped ringing. And, no, it was never a tragedy when that happened...but it's nice to have it happen less.