Incumbency

[ɪn'kʌmb(ə)nsɪ]

(noun.) the office of an incumbent.

(noun.) a duty that is incumbent upon you.

Editor: Simon--From WordNet

(n.) The state of being incumbent; a lying or resting on something.

(n.) That which is physically incumbent; that which lies as a burden; a weight.

(n.) That which is morally incumbent, or is imposed, as a rule, a duty, obligation, or responsibility.

(n.) The state of holding a benefice; the full possession and exercise of any office.

Typist: Owen