My 7YO son struggles with his handwriting. We use Presidential Penmanship and he does one short passage each week. He works on it most every day, but he spends probably 5 minutes each day doing his very best. On Fridays, he finishes the passage he has been working on and then writes his name (first, middle, and last) as extra practice.
I think it really depends on the skill of your child, though. My older son could write his letters much earlier than my younger son, so I am sure he could have done more.