I recently read that:
着る(きる)is used for the wearing clothes for either the upper half of the body (eg 上着)or the whole body in general.
履く(はく)is used for bottom half (eg shoes, socks, trousers).
する is used for accessories (watch, scarf etc)
Is there are a specific/common use for 着ける (つける) or the type of clothes/accessories that take this verb?