Tim Raines was the only first time guy to get enough votes to come back, about 24%. Speculation is Rice will get in next year, and Raines in a few years after that.
This whole "maturation into the HOF" where the number of times on the ballot reflects how strong your candidacy is is interesting. After all, if you had a HOF career, it does not get more so after some number of years on the ballot. Wonder how it got started? It's clearly an established phenomenon.