The Collaborative International Dictionary of English v.0.48:

Intrinse \In*trinse"\ ([i^]n*tr[i^]ns"), a. [See Intrinsic,
   and Intense.]
   Tightly drawn; or (perhaps) intricate. [Very rare]
   [1913 Webster]

         Like rats, oft bite the holy cords atwain,
         Which are too intrinse to unloose.       --Shak.
   [1913 Webster]