Uncoil rhymes with:
coil, coile, coyle, lukoil, recoil, boil, boyle, britoil, broil, coil, coile, coyle, croyle, doyle, embroil, foil, foyle, gatoil, guilfoil, hoyle, lukoil, moyl, moyle, o'boyle, oboyle, oil, oleoyl, recoil, roil, royle, soil, spoil, statoil, toil
Uncoil sounds like:
unanimously, uncle, uncool, uneasily, unequal, unglue, unicycle, uniquely, unocal, unseal, unsell, unshackle, unusual, unusually, unwisely