Effusively rhymes with:
conclusively, exclusively, aggressively, cohesively, comprehensively, compulsively, conclusively, decisively, defensively, derisively, excessively, exclusively, expensively, explosively, extensively, impassively, impressively, impulsively, inconclusively, inexpensively, intensively, massively, obsessively, offensively, passively, persuasively, progressively, reflexively, successively