Hi celestyal Welcome!! ;D Ive had that happen with crocheting because of tension but never with knitting. could be a tesion thing but the needles usally do a good job helping with that, least phor me could be a stich thing, are you keeping the same number of stiches you started with phrom the beginning? Do you crochet? just wondering cause with crocheting lots of times you add a few loops to start another row, with knitting you shouldnt have to, unless its a wavy type scarf instead of a stright one... could also be the size needle's your using n type or size yarn.
Could it be it will just need to be blocked and pressed. I had a batch of scarves that if I remember right were curling on the edges. I can remember I sure pressed and blocked. I knit very little. I was going to craft show then. I put fringe on and bagged for the show.