As adjectives the difference between wick and wicke
is that wick
is (british|dialect|chiefly|yorkshire) alive; lively; full of life; active; bustling; nimble; quick while wicke
As a noun wick
is a bundle, twist, braid, or woven strip of cord, fabric, fibre/fiber, or other porous material in a candle, oil lamp, kerosene heater, or the like, that draws up liquid fuel, such as melted tallow, wax, or the oil, delivering it to the base of the flame for conversion to gases and burning; any other length of material burned for illumination in small successive portions or wick
can be (british|dialect|chiefly|east anglia|and|essex) a farm, especially a dairy farm or wick
can be (british|dialect|chiefly|yorkshire) liveliness; life or wick
can be a corner of the mouth or eye.
As a verb wick
is to convey or draw off (liquid) by capillary action.