I pack my ribbon in good quality food grade plastic bags and use a plastic bag sealer (around $60 on ebay).

Providing there isn't any damage to the bag, pressing the air out by hand and then sealing the tops works very well and looks good too. Although I don't know whether it would strictly help keep items that aren't thinner than 2cm, less than 2cm thick. But you could try it - It certainly helps with presentation of larger orders (I only use it for larger orders).

I also  use laminated envelopes for orders over $5.00 and that definitely helps keep the ribbon in tip top condition along its journey.