1 syllable:
-based, -faced, aced, aist, baist, based, baste, braced, cased, chased, chaste, faced, g-taste, graced, haste, kaist, laced, maced, mayst, paced, paiste, paste, placed, raced, spaced, specced, taste, thraste, traced, vaste, waist, waste

2 syllables:
10base-t, 10gbase-t, abased, allwaste, andraste, backspaced, bald-faced, baldfaced, bare-faced, belaced, bell-faced, black-faced, bold-faced, broad-based, broadbased, change taste, chub-faced, crabfaced, cream-faced, debased, defaced, desgaste, disgraced, displaced, distaste, dog-faced, dough-faced, e-waste, effaced, embraced, empaste, emplaced, encased, enlaced, erased, ewaste, faith-based, false-faced, fast-paced, fishpaste, flypast, food waste, foretaste, forewaste, forwaste, freebased, fresh-faced, full-faced, glass-faced, half-caste, half-faced, horse-faced, impaste, incased, inlaced, in haste, kleinpaste, lambaste, land-based, lean-faced, leertaste, lightfaced, long-faced, miltwaste, misplaced, moon-faced, onetaste, outfaced, outpaced, outraced, pale-faced, pie-faced, pitch-faced, po-faced, post-haste, posthaste, puff paste, pug-faced, radwaste, red-faced, replaced, retraced, rock-faced, round-faced, rule-based, self-paced, shamefaced, sheep-faced, shirtwaist, shit-faced, shitfaced, showcased, smock-faced, smooth-faced, snail-paced, snot-faced, stone-faced, straight-faced, straight-laced, strait-laced, surbased, sweet-faced, text-based, tight-laced, toothpaste, transplaced, two-faced, ultraist, unbraced, uncased, unchaste, unlaced, unplaced, unspaced, untaste, untraced, wasp waist, web-based, wheatpaste, whey-faced, white-faced, yorkbased

3 syllables:
1000base-t, about-faced, aftertaste, apple-faced, ashen-faced, baby-faced, barefaced, body waste, boy erased, brazen-faced, cineaste, conacaste, copper-faced, cut-and-paste, data-based, databased, dirty-faced, double-faced, double-spaced, doublespaced, fiber-faced, freckle-faced, giddy-paced, hatchet-faced, human waste, hypostased, interfaced, interlaced, interspaced, in good taste, in poor taste, iron-cased, janus-faced, knowledge-based, laying waste, lowercased, narrow-based, open-faced, overhaste, pantywaist, pasty-faced, platter-faced, poker-faced, putty-faced, quarry-faced, self-abased, sense of taste, single-spaced, stonefaced, stony-faced, tagasaste, tallow-faced, thorough-braced, thorough-paced, thoroughpaced, toxic waste, undefaced, unerased, weasel-faced, wizen-faced, zero-based

4 syllables:
anchovy paste, evidence-based, library paste, mulberry-faced, permissive waste, theory-based, tomato paste

5 syllables:
reality-based

6 syllables:
alimentary paste

7 syllables:
toxic industrial waste