to dyst ones jacket

from The Collaborative International Dictionary of English v.0.48

Dust \Dust\ (d[u^]st), v. t. [imp. & p. p. {Dusted}; p. pr. &
   vb. n. {Dusting}.]
   1. To free from dust; to brush, wipe, or sweep away dust
      from; as, to dust a table or a floor.
      [1913 Webster]

   2. To sprinkle with dust.
      [1913 Webster]

   3. To reduce to a fine powder; to levigate. --Sprat.
      [1913 Webster]

   {To dyst one's jacket}, to give one a flogging. [Slang.]
      [1913 Webster]