The Collaborative International Dictionary of English v.0.48:

Scrimp \Scrimp\, v. t. [imp. & p. p. Scrimped (?; 215); p. pr.
   & vb. n. Scrimping.] [Cf. Dan. skrumpe, G. schrumpfen, D.
   krimpen. Cf. Shrimp, Shrink.]
   To make too small or short; to limit or straiten; to put on
   short allowance; to scant; to contract; to shorten; as, to
   scrimp the pattern of a coat.
   [1913 Webster]