incumbency

1. The quality or condition of being incumbent.
2. Something incumbent; an obligation.
3. 1. The holding of an office or ecclesiastical benefice.
   2. The term of an office or benefice.

noun

The holding of something, such as a position: occupancy, occupation, tenure. See place.

The noun has 3 meanings:

Meaning #1: the term during which some position is held
  Synonyms: tenure, term of office

Meaning #2: a duty that is incumbent upon you

Meaning #3: the office of an incumbent