Maybe MicroComp? Heh Whatever. Did you see one the biggest companies in the computer industry? They're named Apple. Heh, name yourself Peach or Orange.
That's funny.. two most popular mobile phones now are blackberry and apple hmm a funny name for computer company. How about palmtop or sweeetcomp
Twelve O'clock. (TM) Your slogan can be "The computer for fucking stupid people". Note To Self: Although very funny you may want to drop the language.
ChipMunk Az-Tech SpeedFreak Or perhaps stick "e" in front of a lot of words until you get something good. I can't of any witty ones off the top of my head, but: e-diamond, e-berry, e-wild is the sort of thing I mean. Good luck!