The Collaborative International Dictionary of English v.0.48:

Weary \Wea"ry\, v. t. [imp. & p. p. Wearied; p. pr. & vb. n.
   Wearying.]
   [1913 Webster]
   1. To reduce or exhaust the physical strength or endurance
      of; to tire; to fatigue; as, to weary one's self with
      labor or traveling.
      [1913 Webster]

            So shall he waste his means, weary his soldiers.
                                                  --Shak.
      [1913 Webster]

   2. To make weary of anything; to exhaust the patience of, as
      by continuance.
      [1913 Webster]

            I stay too long by thee; I weary thee. --Shak.
      [1913 Webster]

   3. To harass by anything irksome.
      [1913 Webster]

            I would not cease
            To weary him with my assiduous cries. --Milton.
      [1913 Webster]

   To weary out, to subdue or exhaust by fatigue.
      [1913 Webster]

   Syn: To jade; tire; fatigue; fag. See Jade.
        [1913 Webster]

WordNet (r) 3.0 (2006):

wearying
    adj 1: producing exhaustion; "an exhausting march"; "the visit
           was especially wearing" [syn: exhausting, tiring,
           wearing, wearying]

Moby Thesaurus II by Grady Ward, 1.0:

31 Moby Thesaurus words for "wearying":
   boresome, boring, burdensome, draining, exhausting, fatiguesome,
   fatiguing, grinding, grueling, harsh, heavy, irksome, killing,
   onerous, oppressive, overburdensome, punishing, straining,
   stressful, stupefyingly boring, stuporific, tiresome, tiring,
   toilsome, trying, tyrannous, weariful, wearing, wearisome, weighty,
   yawny