It might be a leak in the plastic of the faucet assembly itself, and that probably means buying a new one, but to remove the assembly...

Get under the cabinet and look at the connections. Tank and external supply. Remove connections, a nut for the external, a hose barb and clamp for tank (latter maybe tight, best to cut hose close and remove stub on bench. Get up and undo the 3 phillips screws holding base. Lift base out. You might see a paper gasket. 

The gasket is there to prevent surface water on the sink area from getting under the cabinet. You can use caulk as substitute.

alistair

On 2011-07-08, at 11:25 AM, Rocket J Squirrel wrote:

> Got a fairly tight schedule this weekend yet hope to get some projects
> done on Mellow Yellow.
> 
> It has the factory faucet on the sink and lately it's developed a leak
> at the base whenever it's run. Is this a 15 minute job to lift and caulk
> or a 2-hour job to disassemble the entire kitchen to get at the base?
> 
> Sign me,
> 
> Hoping It's The Former
> Bend, Ore.