The Collaborative International Dictionary of English v.0.48:

Subsecute \Sub"se*cute\, v. t. [L. subsecutus, p. p. of
   subsequi. See Subsequent.]
   To follow closely, or so as to overtake; to pursue. [Obs.]
   [1913 Webster]

         To follow and detain him, if by any possibility he
         could be subsecuted and overtaken.       --E. Hall.
   [1913 Webster]