What they got right: The husband and wife Robbins team are going for a Japanese (manga) influence in this series, and while it's not perfect, little manga style US comics ever come close. What I know of the Tick comes mostly from the awesome cartoon (never cared for the live-action version), and it does seem to match up with that show, and I can hear the cartoon voices for Tick and Arthur.
What they got wrong: The art isn't bad if you consider it stylized (better than I can do right now, but that's no big feat). It's not as crazy as I've come to expect from The Tick as a series, but again I'm going by the cartoon. This is my first Tick comic, although I did browse a friend's comic years ago.
Recommendation: It looks good so far, and I'm glad to finally be able to snag some new Tick and Arthur stories. I'll have to see how the next three issues play out.