1 syllable:
-chrome, -drome, -stome, -tome, bloem, blohm, blome, boehm, boehme, bohme, brome, choam, chrom-, comb, combe, croem, crome, dohme, dome, drome, foam, frome, gloam, glome, gno/me, gnome, holm, home, khoum, kolm, krome, lhomme, loam, noam, nome, oehme, ohm, phloem, proem, prome, rhome, roam, roehm, rohm, rolm, rome, schaum, show-me, sloam, sohm, stome, stroam, strohm, strome, thome, tome

2 syllables:
afoam, ahome, airdrome, arome, at-home, atome, at home, beachcomb, begohm, bichrome, biome, bring home, caulome, come home, cydrome, defoam, dishhome, distome, down-home, drive home, dystome, ehome, endome, exome, fayoum, genome, ghuloum, glaucome, goldome, go home, guillaume, gunstome, hardhome, head home, hit home, ifoam, in-home, ithome, jacome, janome, jan koum, jerome, jerrome, kinome, lagom, lancome, leptome, loukoum, mccolm, mccomb, megohm, microhm, mitome, nichrome, nitrome, noisome, phyllome, press home, prodrome, protome, radome, ram home, rehome, rest-home, rest home, rhabdome, rhizome, santhome, sarcome, scotome, seadrome, seaholm, sea holm, shalom, siloam, sindrome, sinthome, skydome, socome, strike home, sundome, sundrome, syndrom, syndrome, take-home, take home, tenome, townhome, trichome, trichrome, tymcom-x, vendome, yugyeom, zymome

3 syllables:
abinoam, acrodrome, acrosome, aerodrom, aerodrome, ahinoam, ai-khanoum, allosome, ambisome, amphinome, amphistome, antifoam, antinome, aposome, apotome, arthrotome, astrodome, autodrome, autosome, auxochrome, avshalom, baenosome, bio-dome, biochrome, bioptome, biostrome, brachycome, brachydome, bronchotome, brontozoum, bryozoum, carcinome, cardamome, catacomb, catacombe, catadrome, centrosome, cholochrome, chromosome, church of rome, cibachrome, cirsotome, clinodome, cobalt-chrome, condylome, connectome, cosmodrome, costotome, cryptochrome, curry-comb, currycomb, cyclostome, cystotome, cytochrome, cytosome, cytostome, daunoxome, dermatome, desmosome, diplosome, double-dome, douglas-home, down's syndrome, down syndrome, echochrome, eduroam, ektachrome, endochrome, endosome, endostome, episome, epistome, eurynome, exostome, fargodome, ferrichrome, ferrochrome, fluorochrome, foster home, framatome, gelredome, geodome, geofoam, gigaohm, gizmodrome, gnathostome, gonosome, google home, haemachrome, haemochrome, hallidome, harmotome, harvest-home, harvest home, hemachrome, hemochrome, hippodrome, histotome, holly holm, holostome, honeycomb, hydrosome, hypostome, ilfochrome, indihome, interdome, isodrome, jakob boehm, jakob boehme, keratome, kodachrome, kristi noem, lampadrome, leucotome, lincicome, lipochrome, liposome, lithodome, lithotome, loxodrome, lysosome, macrodome, macrotome, mammotome, meatotome, mecachrome, meerschaum, megaohm, megastome, menopome, mental home, merosome, mesosome, metastome, metrochrome, metrodome, metronome, metrotome, microfoam, microtome, milliohm, minatome, mitosome, mobile home, monochrom, monochrome, monosome, monostome, motordrome, motorhome, motor home, my-otome, myochrome, myotome, nephrostome, nephrotome, neurotome, nursing home, nvhome, openfoam, orthodome, osmazome, otozoum, palindrome, pan-genome, pentastome, peridrome, peristome, phagosome, photochrome, photodrome, phragmosome, phycochrome, phyllostome, phytochrome, pinosome, plasmosome, pneumostome, pocket comb, polychrome, polyfoam, polynom, polystome, pressure dome, proteome, protophloem, protostome, pseudophloem, pyrosome, rachitome, radar dome, raven's home, rhinopome, rhizostome, ribosome, sarcosome, schistosome, sclerotome, semidome, shiodome, silverdome, somatome, spherosome, stay-at-home, stefan holm, stenostome, stichochrome, styrofoam, superdome, tenotome, thunderdome, tichodrome, toxidrome, transcriptome, trophosome, tumblehome, ubiome, urochrome, urosome, velodrome, vistadome, x-chromosome, xxy-syndrome

4 syllables:
25b-nbome, 25i-nbome, abishalom, actinostome, adrenochrome, adventuredome, alamodome, amniotome, cephalotome, chondriosome, chromatosome, craniotome, deuterostome, dictyosome, elaiosome, electrotome, enterotome, epigenome, euchromosome, fistulatome, funeral home, heliochrome, hematochrome, herniotome, informosome, interactome, karyomitome, kessler syndrome, kinetosome, laryngotome, mercurachrome, mercurochrome, metabolome, metallochrome, nucleosome, opisthodome, osteotome, paramitome, pharyngotome, plagiostome, proteosome, rachiotome, riki lindhome, sex chromosome, siphonostome, spliceosome, stereochrome, synaptosome, syringotome, teleostome, tonsillotome, tonsilotome, tracheotome, trypanosome, turner's syndrome, urethrotome, uvulatome, vacation home, valvulotome, videodrome, whispering dome, x chromosome, y-chromosome, yurikamome, y chromosome

5 syllables:
addison's syndrome, annabelle comes home, autophagosome, cytolysosome, geodesic dome, georg simon ohm, havana syndrome, hemidesmosome, impostor syndrome, isochromosome, jehovah-shalom, microkeratome, minichromosome, observation dome, parkinson's syndrome, phagolysosome, polyribosome, reciprocal ohm, ultramicrotome

6 syllables:
carpal tunnel syndrome, cervical disc syndrome, cervical root syndrome, heterochromosome, monthly magazine home, polyurethane foam

7 syllables:
autophagolysosome, chinese restaurant syndrome, fetal alcohol syndrome, mad max beyond thunderdome, sudden infant death syndrome, thoracic outlet syndrome

8 syllables:
acute organic brain syndrome, irritable bowel syndrome

11 syllables:
acquired immune deficiency syndrome