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.]