The Collaborative International Dictionary of English v.0.48:

Exceptionable \Ex*cep"tion*a*ble\
   ([e^]k*s[e^]p"sh[u^]n*[.a]*b'l), a.
   Liable to exception or objection; objectionable. --
   Ex*cep"tion*a*ble*ness, n.
   [1913 Webster]

         This passage I look upon to be the most exceptionable
         in the whole poem.                       --Addison.
   [1913 Webster]

WordNet (r) 3.0 (2006):

exceptionable
    adj 1: liable to objection or debate; used of something one
           might take exception to; "a thoroughly unpleasant highly
           exceptionable piece of writing"; "found the politician's
           views objectionable" [syn: exceptionable,
           objectionable]