A volatile oil composition includes a vehicle and a silicone elastomer, wherein the vehicle is a volatile oily composition of (a) from 50 to 100% by weight of a mixture of linear paraffins including (i) 90 to 99% by weight of at least one linear paraffin selected from C8, C10, C12 paraffins and mixtures thereof, and (ii) 1 to 10% by weight of a C14 linear paraffin, and (b) from 0 to 50% by weight of at least one non-volatile oil. The composition may be used in cosmetic compositions such as for making up and/or caring for and/or protecting skin, lips, eyelashes and/or nails, and in antiperspirant/deodorant compositions.