That's not how it works. You're correct when you say that from your point of view it's Earth's clock going half speed and from Earth's point of view it's your clock going half speed while you're traveling away from Earth (or Earth is traveling away from you, both are equally valid), but that's only true as long as the distance between you and Earth continues to increase at 86% of the speed of light. As you decelerate at your destination your reference frame continuously changes until you're back in the same frame as Earth (or nearly so, we can assume the two stars aren't exactly maintaining their relative positions). While you're decelerating, from your perspective Earth's clock speeds up and goes faster than yours, how much is determined by your rate of change in relative velocity. Earth's reference frame isn't changing (ignoring movement around the sun, galactic center, the great attractor, etc.), so the Earth's perspective on your clock doesn't change, the Earth sees your clock gradually speed up as you "slow down" until it's going the same rate, but never faster. So once you're back in the Earth's reference frame both you and the Earth will agree that your clock advanced 5 years while Earth's clock (and your destination's clock, adjusted for any relative movement between it and Earth) advanced 10 years. This assumes a constant 86% light speed and ignores the time accelerating at departure and arrival so let's assume very fast acceleration so it doesn't change more than a couple days.
Edit: this is all completely ignoring gravity based time dilation from the spaceship climbing out of Sol's well and going down the destination's well and only considers velocity based time dilation. It would be more correct if you only considered two spaceships in a void where one accelerates to relativistic speeds and then accelerates back into the reference frame of the other.
Try out Niagara. It only takes about 5 minutes to set up.
If you're like me, you'll think it's too simplistic, you think you want all that nova launcher shit. But do yourself a favor and give it a try. Pick a background, pick an icon pack, select a few favorites and that's all you need to try it out.
After that if you want to really dig in there isn't much (some of these things are pro features, I can't remember which because I decided to get it so soon after trying it out), it's like 45 minutes at the most to customize your clock, do the custom widget (multiple widgets can share space, you just swipe through), decide if you want music controls on the home screen, and set up pop-ups (like a folder but more, can be in your favorites or your app list), and hide apps from the list (either because they're in a pop-up or you just never use it). And then...that's it, there's nothing else to do.
I tried it out a while ago when the original developer for nova quit the company that bought nova. Did a quick setup, played around for 30 minutes and bought pro right away. I was very surprised at how much I liked a simplistic launcher.
You've got nothing to lose but 30 minutes, check it out.
Edited for clarity about the nova developer quitting.