The Collaborative International Dictionary of English v.0.48:

Tittup \Tit"tup\, v. i. [imp. & p. p. Tittupedor Tittupped;
   p. pr. & vb. n. Tittuping or Tittupping.] [Written also
   titup.] [Cf. Teeter.]
   To behave or move in a lively or restless manner, as an
   impatient horse; to caper; to prance; to frisk. --Kipling.
   [Webster 1913 Suppl.]

The Collaborative International Dictionary of English v.0.48:

Tittup \Tit"tup\, n.
   The act of tittuping; lively, gay, or restless behavior or
   gait; a prance or caper. [Written also titup.]
   [Webster 1913 Suppl.]

WordNet (r) 3.0 (2006):

tittup
    v 1: to walk with a lofty proud gait, often in an attempt to
         impress others; "He struts around like a rooster in a hen
         house" [syn: tittup, swagger, ruffle, prance,
         strut, sashay, cock]