3 syllables:
agency, blatancy, painfully, aimlessly, patiently, hastily, blazonry, faithfully, spaciously, papacy, wastefully, specialty, graciously, gracefully, vagrancy, shamefully, maidenly, atony, blatantly, latency, fatally, faithlessly, masonry, blamelessly, racially, saliency, crazily, tastefully, gracelessly, vacancy, gratefully, shamelessly, albany, awfully, balsamy, cautiously, cross-country, dauntlessly, doggedly, falsity, flawlessly, frostily, gaudily, laudably, lawfully, lawlessly, paucity, plausibly, raucously, saucily, solemnly, solvency, tawdrily, thoughtfully, thoughtlessly, wantonly, wrongfully

4 syllables:
favorably, press agency, outrageously, salaciously, contagiously, loquaciously, freemasonry, ungraciously, courageously, sagaciously, mistakenly, disgracefully, news agency, naivety, belatedly, impatiently, complacency, insatiably, disdainfully, tenaciously, androgyny, apostasy, craniotomy, dishonestly, hydropathy, implausibly, inaudibly, incautiously, metonymy, phlebotomy, sclerotomy, strabotomy, unlawfully

5 syllables:
unmistakably, unashamedly, inescapably, occasionally, ostentatiously, travel agency, episiotomy, inexhaustibly, meritocracy, tracheotomy

6 syllables:
employment agency, inefficaciously, mercantile agency, cardiomyopathy, homoeopathy

7 syllables:
cyclopean masonry, rotational latency, advertising agency, haemoglobinopathy, hemoglobinopathy

8 syllables:
regulatory agency

9 syllables:
central intelligence agency

11 syllables:
environmental protection agency

14 syllables:
international atomic energy agency