The Collaborative International Dictionary of English v.0.48:
Importune \Im`por*tune"\, v. t. [imp. & p. p. Importuned
   ([i^]m`p[o^]r*t[=u]nd"); p. pr. & vb. n. Importuning.]
   [From Importune, a.: cf. F. importuner.]
   1. To request or solicit, with urgency; to press with
      frequent, unreasonable, or troublesome application or
      pertinacity; hence, to tease; to irritate; to worry.
      [1913 Webster]
            Their ministers and residents here have perpetually
            importuned the court with unreasonable demands.
                                                  --Swift.
      [1913 Webster]
   2. To import; to signify. [Obs.] "It importunes death."
      --Spenser.
      [1913 Webster]