Eastlick rhymes with:
bailiwick, balliwick, barwick, bestwick, bolshevik, broomstick, candlestick, capstick, chopstick, dipstick, eastwick, elswick, fenwick, firebrick, gatwick, hambrick, hardwick, hartwick, hembrick, herwick, homesick, impolitic, joystick, keswick, krutick, kubrick, linwick, lipnick, lipstick, lunatic, marwick, micronic, morowick, nadgwick, nightstick, nowaczyk, pandick, papernick, pickwick, picnic, pitstick, politic, roddick, sandwick, seasick, shandwick, sidekick, slapstick, smithwick, toothpick, traczyk, traywick, triassic, uptick, yardstick