The Collaborative International Dictionary of English v.0.48:

Subservience \Sub*serv"i*ence\, Subserviency \Sub*serv"i*en*cy\,
   n.
   The quality or state of being subservient; instrumental
   fitness or use; hence, willingness to serve another's
   purposes; in a derogatory sense, servility.
   [1913 Webster]

         The body wherein appears much fitness, use, and
         subserviency to infinite functions.      --Bentley.
   [1913 Webster]

         There is a regular subordination and subserviency among
         all the parts to beneficial ends.        --Cheyne.
   [1913 Webster]

WordNet (r) 3.0 (2006):

subservience
    n 1: the condition of being something that is useful in reaching
         an end or carrying out a plan; "all his actions were in
         subservience to the general plan"
    2: in a subservient state [syn: subservience,
       subservientness]
    3: abject or cringing submissiveness [syn: obsequiousness,
       servility, subservience]