1 syllable:
bink, blink, brink, bsync, chink, cinq, cinque, clink, cwrsync, d-link, dink, drink, finck, fincke, fink, finke, flink, fpd-link, frink, hinck, hink, inc, inc., ink, kink, klinck, klink, klinke, krink, krinke, linc, lincc, linck, link, linke, lynk, minc, mink, minke, nsync, nwlink, pink, plink, prink, quink, quinque, rinck, rink, rinke, rsync, schinke, schlink, schminke, scink, shinc, shrink, sink, skink, slink, smink, spink, stink, swinck, swink, sync, think, tp-link, trink, twink, vink, vinke, wincc, wink, xlink, zinc, zinck, zink, zinke, blinked, chinked, cinct, clinked, dinked, finked, inked, jinked, kinked, linked, linkt, pinked, plinked, prinked, skinked, slinked, tinct, winked, zincked

2 syllables:
airlink, apink, arinc, artdink, async, athink, backlink, basslink, batfink, bentinck, bethink, bisync, blackpink, cellink, chain-link, chainlink, cheewink, crimethinc., cross-link, cufflink, deep-pink, delink, dislink, downlink, enlink, eyeblink, eyewink, eye blink, ez-link, forethink, forthink, freesync, fruit drink, gamelink, gap inc., getlink, goldlink, goodsync, grass pink, grey-pink, ground pink, groupthink, grsync, hardlink, hard drink, heat sink, hedge pink, hoodwink, hotlink, hotsync, i-link, iceblink, ice rink, igg inc., ilink, i think, lablink, lip-sync, lipsync, lip sync, macdink, malinke, marsh pink, mauve-pink, misthink, mixed drink, moonblink, moss pink, netlink, nvlink, outdrink, outthink, pincpinc, prelink, preshrink, purelink, ralink, ratfink, relink, rethink, rock pink, rose-pink, rose pink, sealink, sea pink, sex-link, snowblink, soft-drink, softdrink, soft drink, spacelink, spalink, starlink, steinbrink, strong drink, sunblink, sweelinck, symlink, tallink, tenbrink, timesink, toswink, unkink, unlink, unthink, uplink, vlaminck, vsync, weblink, wightlink, wild pink, winlink, cross-linked, crosslinked, discinct, distinct, downlinked, extinct, hoodwinked, instinkt, procinct, sex-linked, succinct, unlinked, unpinked, x-linked

3 syllables:
acer inc., applelink, apple inc., banglalink, bobby finke, bobolink, bumble inc., button pink, canon inc., catch a wink, centrelink, cheddar pink, china pink, citilink, citylink, cottage pink, countersink, datalink, data link, doublethink, equilink, fire pink, garage inc., garden pink, hemi-sync, humperdinck, interlink, io-link, kitchen sink, lilac-pink, maiden pink, marking ink, medialink, megalink, metalink, mirrorlink, missing link, mobilink, monolink, multilink, multisync, neuralink, overdrink, overthink, palatschinke, permalink, printing ink, purplish pink, qantaslink, rainbow pink, razer inc., reddish-pink, rinky-dink, robert finke, sadie sink, salmon pink, scarlet-pink, shades of pink, silver link, simulink, skating rink, telesync, tightvnc, unbethink, visa inc., vitalink, wikilink, writing ink, xylem inc., index-linked, indistinct, inextinct, interlinked, unextinct, unit-linked

4 syllables:
activesync, adobe inc., alphabet inc., centurylink, flowers of zinc, freefilesync, ice hockey rink, indian pink, india ink, insider inc., japanese pink, jocko willink, lavender-pink, maeterlinck, personalink, pretty in pink, radio link, skidamarink, virtuallink, yellowish pink

5 syllables:
american mink, caterpillar inc., indelible ink

6 syllables:
dempagumi.inc