A very clever concept that was very cleverly delivered! The look and feel of it is pleasantly reminiscent of the Monkey Island series, with the pixelated point-and-click style.
The idea of time being an actual currency that can be used to buy things is a cracker, as well, and the ever-ticking clock above your character's head really spurs on the sense of urgency you feel in needing to get to the bottom of the case!
The gun-toting sequences were a bit clunky at times, and it was hard to navigate those particular areas. Not impossible, but a little tough. I think a switch to a first-person perspective for those scenes would've maybe made it easier (old school Dick Tracy game style!).
All in all though, when you throw in the great soundtrack, so many wonderfully designed areas and a great, thought-provoking ending this is a great experience that was well worth the... time! Get it? A time joke? So awesome.