Known Nicknames/abbreviations/short names:
Marcus Camby: Cambyman
Baron Davis: B-Diddy, Boom Dizzle, BD, The Bodyguard, Too Easy
Paul Davis: P-Diddy
Ricky Davis: Buckets, Get Buckets, Tricky Ricky
Eric Gordon: EJ (Eric Jr.), EG, Air Gordon
Jason Hart: J-Hart
DeAndre Jordan: DJ
Chris Kaman: Kaveman
Cuttino Mobley: Cat
Brian Skinner: Socrates
Tim Thomas: Timmy, TT
Al Thornton: Juice, The Thorn, Big Al
Jason Williams: White Chocolate, J-Will, J-Dub
Players without nicknames:
Steve Novak
Mike Taylor
Some Proposed New Aliases:
Baron Davis:
LABD - It's based off his initials, but it'll tie in with some of the others.
Chris Kaman & Marcus Camby:
SWAT Team or Block Party - They're going to put us amongst the league leaders in blocked shots, so it's only fitting.
Eric Gordon:
Commissioner or The Commish (for short) - These are taken straight from Batman and go well with LABD and the SWAT team.
Space Jam - Michael's son in the movie was played by a boy named Eric Gordon. Our Gordon has denied that it was him numerous times, but that would have been damn good nickname for him.
Jason Hart:
The Hitman - I know I wasn't the only one that watched wrestling growing up

Steve Novak:
Sharp Shooter, The Assassin, The Sniper - For his deadly shooting from long range.
Mike Taylor: Mr. T - His full name is Michael Rene Taylor
I can't take credit for LABD, SWAT Team or Block Party. Clipper fans from other boards have come up with those.
This is just for fun, but maybe some of them will stick. What do you guys have?