The Collaborative International Dictionary of English v.0.48:

Fabian \Fa"bi*an\, a. [L. Fabianus, Fabius, belonging to
   Fabius.]
   Of, pertaining to, or in the manner of, the Roman general,
   Quintus Fabius Maximus Verrucosus; cautious; dilatory;
   avoiding a decisive contest.
   [1913 Webster]

   Fabian policy, a policy like that of Fabius Maximus, who,
      by carefully avoiding decisive contests, foiled Hannibal,
      harassing his army by marches, countermarches, and
      ambuscades; a policy of delays and cautions.
      [1913 Webster]