I don't know how heavy the wire might be. Some large vines could pull it down unless it's substantial. If you are looking for coverage only in summer, you could plant annual vines. Is it a sunny location?

I'm not sure exactly what you mean by "mesh" wire fence.

Clematis won't give year round interest, but you'd get decent coverage during the growing season, takes a couple years to establish.

Climbing Hydrangea would probably be too heavy, and takes years to establish.

What about Boston Ivy - vigorous grower.

Grape vine would work too, but there is a particular way you'd want to prune it to get it to produce fruit (4-5 years later), so I'm not sure if this would give you the coverage you are looking for unless you want to sacrifice the fruit - then you just let it grow on its own.

None of these will give year round interest, but my choice would be the clematis. Type 3 Viticella clematis are wilt resistant, and you can prune them down by half after the inital bloom to get a second bloom in the fall. Polish Spirit variety gets really large. If interested, check out "clematis on the web" (it's a UK site) for more info on clems.

Good luck.