Cold Sweat, I believe.
While this is probably true, the design of the Cold Sweat is very different from the Dirty Fingers, and Tim has gone on record to say that the Cold Sweat is more an homage to that
type of tone rather than being a replica of the DF.
For example -- The Stormy Monday is much more of an exact PAF replica than the Cold Sweat is of the Dirty Fingers.
The Cold Sweat is more of an homage ..
As for playing clean, the Cold Sweat will do it, but it depends on how sensitive the input on your amp is, as well as whether you have a volume control on your guitar. I don't PDT_008
I must admit I'm confused, however, at the OT's question:
You ask for a pickup that sounds like the Dirty Fingers and then ask if it'll play clean?!!
Sounds like you want your cake and eat it, too -- not always possible, as there will always be a compromise between drive and warmth.