Re*eli*gi*bil"i*ty

from The Collaborative International Dictionary of English v.0.48

Reeligible \Re*el"i*gi*ble\ (r[=e]*[e^]l"[i^]*j[i^]*b'l), a.
   Eligible again; capable of reelection; as, reeligible to the
   same office. -- {Re*el`i*gi*bil"i*ty}
   (r[=e]*[e^]l`[i^]*j[i^]*b[i^]l"[i^]*t[y^]), n.
   [1913 Webster]