1 syllable:
bihm, brim, brimm, chimb, clim, crim, crimm, dim, dimme, flim, grim, grimm, grimme, gym, him, hymn, hymne, im, imm, jim, kim, kimm, klim, klym, krim, kym, l'trimm, lim, limb, limbe, mihm, mim, ntimm, pimm, prim, primm, pymm, rdimm, rim, schlimm, scrim, shim, sim, simm, skim, slim, stimme, swim, swimm, sym, tim, timm, timme, trim, trimm, vim, whim, yim, zim

2 syllables:
-onym, abrim, acvim, arnim, aughrim, broad-brim, broadbrim, chulym, delsym, didym, facim, facsim, forelimb, gwilym, gyzym, hindlimb, hind limb, ikwym, iswim, iykwim, iyswim, jokim, lil' kim, mckim, outswim, perim, prelim, radim, rhythym, snap-brim, so-dimm, sodimm, sprechstimme, statim, susim, tacsim, tanzim, vitim

3 syllables:
alastrim, allonym, alulim, anonym, antonym, anusim, aptonym, aptronym, autonym, blantyre-limbe, caconym, carlos slim, chazanim, chiarnim, cryptonym, dayanim, dionym, endonym, eponym, ethanim, ethnonym, euonym, exonym, fatboy slim, fbdimm, filgrastim, haradim, haredim, holonym, hypernym, hyponym, isonym, johnnyswim, ketubim, ketuvim, kibbutzim, kuskokwim, lehavim, lenni-kim, matronym, memitim, metonym, misnagdim, mononym, moshavim, nellie kim, neodym, nephilim, nephthalim, nvdimm, overbrim, paronyme, patronym, pertainym, phantom limb, pseudonyme, psuedonym, sinonym, synonym, synonyme, tautonym, tellonym, textonym, theonym, thinkorswim, toponym, trionym, troponym, visvim, wysiwym, yuna kim

4 syllables:
al-musta'sim, anthroponym, basionym, capitonym, charactonym, daniel dae kim, heteronym, hyperonym, jennifer syme, literatim, olympic hymn, pegfilgrastim, polyonym, utnapishtim, wilhelm karl grimm

5 syllables:
auto-antonym, missy peregrym, poecilonym, the secret of nimh

6 syllables:
jakob ludwig karl grimm