If Specter loses the primary, hopefully he'll pull a Lieberman and win as an Independent (Pennsylvania for Specter )
Pennyslvania has funny, yet really ridiculous, law that prohibits a candidate who ran for an office yet lost in that primary to run for the same office in the General. This was a recent discovery on my part.
Texas has the same type of law - so its not really rare.
South Carolina prohibits them from running as petition candidates, but you can run as the candidate of another party or of multiple parties. For example, the Working Families party is running a couple of candidates in State House races that are also participating in the Democratic primary this June 10.
Deadline for certifying a new party is about a month before the primaries are held, so someone who was trying to pull a CFL deal would need to submit the necessary 10,000 signatures before the primary and not after as Lieberman did.