Being December already, I don't think "too early" applies. Admittedly some post-docs won't start looking until the Spring, though I think most would rather have a (good) applicant's information early. There can be a scramble around Feb/March and then whenever the Uniform notification date is for APPIC post-docs. The post-doc process is much more fluid, so there is little reason to not want to get your apps in, as waiting may cost you the shot at a site because someone else applied early and got the spot.
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