The Collaborative International Dictionary of English v.0.48:
Eccentrically \Ec*cen"tric*al*ly\, adv. In an eccentric manner. [1913 Webster] Drove eccentrically here and there. --Lew Wallace. [1913 Webster]WordNet (r) 3.0 (2006):
eccentrically adv 1: in an eccentric or bizarre manner 2: not symmetrically with respect to the center