The position or office of a member of a committee, or of a committee as a whole; membership of a committee.
Origin
Mid 17th century; earliest use found in William Sheppard (bap. 1595, d. 1674), barrister and legal writer. From committee + -ship.
committeeship2
/kɒmɪˈtiːʃɪp/
noun
The position or role of a committee; legal responsibility for or guardianship of another person or his or her affairs. Now chiefly attributive in committeeship application.