Hmm… It's not really “my style”, so my critique is limited, but I do have a few thoughts:
First of all, it fundamentally looks fine, I think. The tone seems to me to be cartoony and light--if that's your intention, then well and good! ^_^
In terms of potential improvement, I feel like I want one more frame in the walk-cycle, primarily for the movement of the character's legs. At the moment, with only two frames, there's no real sense that the character's legs are moving, I find--it just feels like they're clicking back and forth. With a third frame (or, even better, a fourth), the motion of the legs might be better conveyed.
I also feel like the animation of the character's arm in the walk-cycle is perhaps a little jarring: in pretty much all other respects, the character's lines are rounded; they have an almost rubbery feel to them. It's thus a little jarring to suddenly see a sharp bend at the elbow.
I would suggest either sharpening the angles of the sprite elsewhere, or--perhaps better for the style otherwise being used--curving the character's arm in motion, rounding off that angle.