What kind of a fence? It climbs by twining its stems, so needs supports that allow for that, rather than a flat fence.

By nature, it will grow up as high as the thing it is climbing, but it will then flop over unless given frequent guidance to get it to grow in the direction you would like. My Lonicera sempervirens Major Wheeler started as a tiny rooted cutting and grew to 15 feet or so in perhaps 6 years, and then had to be cut back severely so the trellis could be moved for housepainting. It did quite a bit of regrowing after its pruning last season and I expect it to have regrown mostly back to its previous size by next year.