From what I know of this, it is traditional to give children in the family a gift every day of Hanukkah.
Small things such as chocolate wrapped in coin-shaped foil, dredels (spinning toys) fresh fruit
(traditionally fruit was not available as easily as now), a new pretty comb or scarf for a girl, a book
for a boy.
In modern times whole families are not together every day on Hanukkah, so they would be more
likely to give larger gifts on one day of the eight-day feast. Things such as would be given on Christmas.
Games from Toys R Us, clothing, tickets to concerts, plus of course the traditional dredels, jewelry.