I designed a fairly simple logo for my art site. here the link: http://i44.photobucket.com/albums/f8/riverbirches/logo.gif
Looks nice. Clean and simple. But there seems to be some artifacts around the hand from previous compression. I'd zoom in, erase those artifacts, and then save it as a .gif again. Good luck!
I like it, looks nice and clean. You might consider adding a splash of color to the exposed sleeve on the hand to brighten things up a bit. Nice work.