An electric current is a drift of charges through a material. In the case of metallic conductors, these charges are electrons. But in other materials, such as liquids, these charges are often be ions (charged atoms). The actual drift of these charges is v-e-r-y slow -so slow, in fact, that a single electron is unlikely to travel the length of a flashlight's filament during the lifetime of its battery!
Electric current is measured in amperes (symbol: A), which is defined in terms of the forces set up by its magnetic effect -the force, in newtons, between two parallel current-carrying conductors.